@inproceedings{11798, abstract = {Starting with two models fifty years ago, the discrete marriage game [1] and the continuous assignment game [2], the study of stable matchings has evolved into a rich theory with applications in many areas. Most notably, it has lead to a number of truthful mechanisms that have seen a recent rejuvenation in the context of sponsored search. In this paper we survey the history of these problems and provide several links to ongoing research in the field.}, author = {Dütting, Paul and Henzinger, Monika H}, booktitle = {7th International Conference on Algorithms and Complexity}, isbn = {9783642130724}, issn = {1611-3349}, location = {Rome, Italy}, pages = {6–12}, publisher = {Springer Nature}, title = {{Mechanisms for the marriage and the assignment game}}, doi = {10.1007/978-3-642-13073-1_2}, volume = {6078}, year = {2010}, } @inproceedings{11838, abstract = {Two-sided matching markets play a prominent role in economic theory. A prime example of such a market is the sponsored search market where $n$ advertisers compete for the assignment of one of $k$ sponsored search results, also known as ``slots'', for certain keywords they are interested in. Here, as in other markets of that kind, market equilibria correspond to stable matchings. In this paper, we show how to modify Kuhn's Hungarian Method (Kuhn, 1955) so that it finds an optimal stable matching between advertisers and advertising slots in settings with generalized linear utilities, per-bidder-item reserve prices, and per-bidder-item maximum prices. The only algorithm for this problem presented so far (Aggarwal et al., 2009) requires the market to be in ''general position''. We do not make this assumption.}, author = {Dütting, Paul and Henzinger, Monika H and Weber, Ingmar}, booktitle = {27th International Symposium on Theoretical Aspects of Computer Science}, isbn = {978-3-939897-16-3}, issn = {1868-8969}, location = {Nancy, France}, pages = {287--298}, publisher = {Schloss Dagstuhl - Leibniz-Zentrum für Informatik}, title = {{Sponsored search, market equilibria, and the Hungarian Method}}, doi = {10.4230/LIPICS.STACS.2010.2463}, volume = {5}, year = {2010}, } @inproceedings{11863, abstract = {Suppose you buy a new laptop and, simply because you like it so much, you recommend it to friends, encouraging them to purchase it as well. What would be an adequate price for the vendor of the laptop to pay for your recommendation? Personal recommendations like this are of considerable commercial interest, but unlike in sponsored search auctions there can be no truthful prices. Despite this "lack of truthfulness" the vendor of the product might still decide to pay you for recommendation e.g. because she wants to (i) provide you with an additional incentive to actually recommend her or to (ii) increase your satisfaction and/or brand loyalty. This leads us to investigate a pricing scheme based on the Shapley value [5] that satisfies certain "axioms of fairness". We find that it is vulnerable to manipulations and show how to overcome these difficulties using the anonymity-proof Shapley value of [4].}, author = {Dütting, Paul and Henzinger, Monika H and Weber, Ingmar}, booktitle = {Proceedings of the 19th international conference on World wide web }, isbn = {9781605587998}, location = {Raleigh, NC, United States}, pages = {1085--1086}, publisher = {Association for Computing Machinery}, title = {{How much is your personal recommendation worth?}}, doi = {10.1145/1772690.1772816}, year = {2010}, } @article{11885, abstract = {Over the last years the h-index has gained popularity as a measure for comparing the impact of scientists. We investigate if ranking according to the h-index is stable with respect to (i) different choices of citation databases, (ii) normalizing citation counts by the number of authors or by removing self-citations, (iii) small amounts of noise created by randomly removing citations or publications and (iv) small changes in the definition of the index. In experiments for 5,283 computer scientists and 1,354 physicists we show that although the ranking of the h-index is stable under most of these changes, it is unstable when different databases are used. Therefore, comparisons based on the h-index should only be trusted when the rankings of multiple citation databases agree.}, author = {Henzinger, Monika H and Suñol, Jacob and Weber, Ingmar}, issn = {1588-2861}, journal = {Scientometrics}, number = {2}, pages = {465--479}, publisher = {Springer Nature}, title = {{The stability of the h-index}}, doi = {10.1007/s11192-009-0098-7}, volume = {84}, year = {2010}, } @article{11975, abstract = {A new method was developed for the quantitative analysis of steryl glycosides in biodiesel (fatty acid methyl esters). This method is much more sensitive than existing methods and has minimum limits of quantification of 50 μg/kg, compared to previously published minimum limits of quantification of about 15 mg/kg. The analysis is based on gas chromatography–mass spectroscopy determination of simple pre-treated and silylated samples via single ion monitoring at 147, 204, 217 m/z, which are specific ions for the silylated sugar moiety. Quantification was carried out using cholesteryl β-d-glucopyranoside as internal standard. The modified synthesis and purification of the internal standard is also presented as well as the characterization by NMR and mass spectroscopy. The advantage of the method compared with other approaches is the simplified sample preparation avoiding extra pre-treatment steps coupled with complete derivatization of the sugar hydroxyl groups by using N,O-bis(trimethylsilyl)acetamide with 5% trimethylchlorosilane as derivatization reagent. On the given conditions high recovery rates ≥89% can be obtained. Evaluation of lab specific variance and intermediate precision underline the robustness of the method which will be further assessed by Round robin tests.}, author = {Pieber, Bartholomäus and Schober, Sigurd and Goebl, Christoph and Mittelbach, Martin}, issn = {0021-9673}, journal = {Journal of Chromatography A}, number = {42}, pages = {6555--6561}, publisher = {Elsevier}, title = {{Novel sensitive determination of steryl glycosides in biodiesel by gas chromatography-mass spectroscopy}}, doi = {10.1016/j.chroma.2010.08.006}, volume = {1217}, year = {2010}, } @article{2071, abstract = {The X or Z chromosome has several characteristics that distinguish it from the autosomes, namely hemizygosity in the heterogametic sex, and a potentially different effective population size, both of which may influence the rate and nature of evolution. In particular, there may be an accelerated rate of adaptive change for X-linked compared to autosomal coding sequences, often referred to as the Faster-X effect. Empirical studies have indicated that the strength of Faster-X evolution varies among different species, and theoretical treatments have shown that demography and mating system can substantially affect the degree of Faster-X evolution. Here we integrate genomic data on Faster-X evolution from a variety of animals with the demographic factors, mating system, and sex chromosome regulatory characteristics that may influence it. Our results suggest that differences in effective population size and mechanisms of dosage compensation may influence the perceived extent of Faster-X evolution, and help to explain several clade-specific patterns that we observe.}, author = {Mank, Judith E and Beatriz Vicoso and Berlin, Sofia and Charlesworth, Brian}, journal = {Evolution}, number = {3}, pages = {663 -- 674}, publisher = {Wiley-Blackwell}, title = {{Effective population size and the Faster-X effect: Empirical results and their interpretation}}, doi = {10.1111/j.1558-5646.2009.00853.x}, volume = {64}, year = {2010}, } @phdthesis{2075, abstract = {This thesis investigates the combination of data-driven and physically based techniques for acquiring, modeling, and animating deformable materials, with a special focus on human faces. Furthermore, based on these techniques, we introduce a data-driven process for designing and fabricating materials with desired deformation behavior. Realistic simulation behavior, surface details, and appearance are still demanding tasks. Neither pure data-driven, pure procedural, nor pure physical methods are best suited for accurate synthesis of facial motion and details (both for appearance and geometry), due to the difficulties in model design, parameter estimation, and desired controllability for animators. Capturing of a small but representative amount of real data, and then synthesizing diverse on-demand examples with physically-based models and real data as input benefits from both sides: Highly realistic model behavior due to real-world data and controllability due to physically-based models. To model the face and its behavior, hybrid physically-based and data-driven approaches are elaborated. We investigate surface-based representations as well as a solid representation based on FEM. To achieve realistic behavior, we propose to build light-weighted data capture devices to acquire real-world data to estimate model parameters and to employ concepts from data-driven modeling techniques and machine learning. The resulting models support simple acquisition systems, offer techniques to process and extract model parameters from real-world data, provide a compact representation of the facial geometry and its motion, and allow intuitive editing. We demonstrate applications such as capture of facial geometry and motion and real-time animation and transfer of facial details, and show that our soft tissue model can react to external forces and produce realistic deformations beyond facial expressions. Based on this model, we furthermore introduce a data-driven process for designing and fabricating materials with desired deformation behavior. The process starts with measuring deformation properties of base materials. Each material is represented as a non-linear stress-strain relationship in a finite-element model. For material design and fabrication, we introduce an optimization process that finds the best combination of base materials that meets a user’s criteria specified by example deformations. Our algorithm employs a number of strategies to prune poor solutions from the combinatorial search space. We finally demonstrate the complete process by designing and fabricating objects with complex heterogeneous materials using modern multi-material 3D printers. }, author = {Bernd Bickel}, booktitle = {Unknown}, number = {7458}, publisher = {Unknown}, title = {{Measurement-based modeling and fabrication of deformable materials for human faces}}, doi = {dx.doi.org/10.3929/ethz-a-006354908}, volume = {499}, year = {2010}, } @article{2095, abstract = {This paper describes a passive stereo system for capturing the 3D geometry of a face in a single-shot under standard light sources. The system is low-cost and easy to deploy. Results are submillimeter accurate and commensurate with those from state-ofthe-art systems based on active lighting, and the models meet the quality requirements of a demanding domain like the movie industry. Recovered models are shown for captures from both high-end cameras in a studio setting and from a consumer binocular-stereo camera, demonstrating scalability across a spectrum of camera deployments, and showing the potential for 3D face modeling to move beyond the professional arena and into the emerging consumer market in stereoscopic photography. Our primary technical contribution is a modification of standard stereo refinement methods to capture pore-scale geometry, using a qualitative approach that produces visually realistic results. The second technical contribution is a calibration method suited to face capture systems. The systemic contribution includes multiple demonstrations of system robustness and quality. These include capture in a studio setup, capture off a consumer binocular-stereo camera, scanning of faces of varying gender and ethnicity and age, capture of highly-transient facial expression, and scanning a physical mask to provide ground-truth validation.}, author = {Beeler, Thabo and Bernd Bickel and Beardsley, Paul A and Sumner, Bob and Groß, Markus S}, journal = {ACM Transactions on Graphics}, number = {4}, publisher = {ACM}, title = {{High-quality single-shot capture of facial geometry}}, doi = {10.1145/1778765.1778777}, volume = {29}, year = {2010}, } @article{2096, abstract = {Point-based graphics has gained much attention as an alternative to polygon-based approaches because of its simplicity and flexibility. However, current point-based techniques do not provide a sufficient rendering quality for translucent materials such as human skin. In this paper, we propose a point-based framework with subsurface scattering of light, which is important to create the soft and semi-translucent appearance of human skin. To accurately simulate subsurface scattering in multilayered materials, we present splat-based diffusion to apply a linear combination of several Gaussian basis functions to each splat in object space. Compared to existing point-based approaches, our method offers a significantly improved visual quality in rendering human faces and provides a similar visual quality to polygon-based rendering using the texture space diffusion technique. We demonstrate the effectiveness of our approach in rendering scanned faces realistically.}, author = {Kim, Hyeonjoong and Bernd Bickel and Groß, Markus S and Choi, Soomi}, journal = {Science in China, Series F: Information Sciences}, number = {5}, pages = {911 -- 919}, publisher = {Springer}, title = {{Subsurface scattering using splat-based diffusion in point-based rendering}}, doi = {10.1007/s11432-010-0068-y}, volume = {53}, year = {2010}, } @article{2097, abstract = {This paper introduces a data-driven process for designing and fabricating materials with desired deformation behavior. Our process starts with measuring deformation properties of base materials. For each base material we acquire a set of example deformations, and we represent the material as a non-linear stress-strain relationship in a finite-element model. We have validated our material measurement process by comparing simulations of arbitrary stacks of base materials with measured deformations of fabricated material stacks. After material measurement, our process continues with designing stacked layers of base materials. We introduce an optimization process that finds the best combination of stacked layers that meets a user's criteria specified by example deformations. Our algorithm employs a number of strategies to prune poor solutions from the combinatorial search space. We demonstrate the complete process by designing and fabricating objects with complex heterogeneous materials using modern multi-material 3D printers.}, author = {Bernd Bickel and Bac̈her, Moritz and Otaduy, Miguel A and Lee, Hyunho R and Pfister, Hanspeter and Groß, Markus S and Matusik, Wojciech}, journal = {ACM Transactions on Graphics}, number = {4}, publisher = {ACM}, title = {{Design and fabrication of materials with desired deformation behavior}}, doi = {10.1145/1778765.1778800}, volume = {29}, year = {2010}, } @article{2124, abstract = {We develop a theory of Malliavin calculus for Banach space-valued random variables. Using radonifying operators instead of symmetric tensor products we extend the Wiener-Itô isometry to Banach spaces. In the white noise case we obtain two sided Lp-estimates for multiple stochastic integrals in arbitrary Banach spaces. It is shown that the Malliavin derivative is bounded on vector-valued Wiener-Itô chaoses. Our main tools are decoupling inequalities for vector-valued random variables. In the opposite direction we use Meyer's inequalities to give a new proof of a decoupling result for Gaussian chaoses in UMD Banach spaces.}, author = {Jan Maas}, journal = {Journal of Mathematical Analysis and Applications}, number = {2}, pages = {383 -- 398}, publisher = {Academic Press}, title = {{Malliavin calculus and decoupling inequalities in Banach spaces}}, doi = {10.1016/j.jmaa.2009.08.041}, volume = {363}, year = {2010}, } @article{2194, abstract = {We develop an analytic model of vector correlations in rotationally inelastic atom-diatom collisions and test it against the much examined Ar-NO (X2Π) system. Based on the Fraunhofer scattering of matter waves, the model furnishes complex scattering amplitudes needed to evaluate the polarization moments characterizing the quantum stereodynamics. The analytic polarization moments are found to be in an excellent agreement with experimental results and with close-coupling calculations available at thermal energies. The model reveals that the stereodynamics is governed by diffraction from the repulsive core of the Ar-NO potential, which can be characterized by a single Legendre moment.}, author = {Mikhail Lemeshko and Friedrich, Břetislav}, journal = {Physical Chemistry Chemical Physics}, number = {5}, pages = {1038 -- 1041}, publisher = {Royal Society of Chemistry}, title = {{An analytic model of the stereodynamics of rotationally inelastic molecular collisions}}, doi = {10.1039/B920899B }, volume = {12}, year = {2010}, } @article{2195, abstract = {Following upon our recent work on vector correlations in the Ar-NO collisions [Lemeshko and Friedrich, Phys. Chem. Chem. Phys. 12, 1038 (2010)], we compare model results with close-coupling calculations for a range of channels and collision energies for the He-NO system. The striking agreement between the model and exact polarization moments indicates that the stereodynamics of rotationally inelastic atom-molecule collisions at thermal energies is governed by diffraction of matter waves from a two-dimensional repulsive core of the atom-molecule potential. Furthermore, the model polarization moments characterizing the He-NO, He- O2, He-OH, and He-CaH stereodynamics are found to coalesce into a single, distinctive pattern, which can serve as a "fingerprint" to identify diffraction-driven stereodynamics in future work. }, author = {Mikhail Lemeshko and Jambrina, Pablo G and De Miranda, Marcelo P and Friedrich, Břetislav}, journal = {Journal of Chemical Physics}, number = {16}, publisher = {American Institute of Physics}, title = {{Communications: When diffraction rules the stereodynamics of rotationally inelastic collisions}}, doi = {10.1063/1.3386530}, volume = {132}, year = {2010}, } @article{2196, abstract = {We evaluate the shifts imparted to vibrational and rotational levels of a linear molecule by a nonresonant laser field at intensities of up to 10 12 W/cm2. Both types of shift are found to be either positive or negative, depending on the initial rotational state acted upon by the field. An adiabatic field-molecule interaction imparts a rotational energy shift which is negative and exceeds the concomitant positive vibrational shift by a few orders of magnitude. The rovibrational states are thus pushed downward in such a field. A nonresonant pulsed laser field that interacts nonadiabatically with the molecule is found to impart rotational and vibrational shifts of the same order of magnitude. The nonadiabatic energy transfer occurs most readily at a pulse duration which amounts to about a tenth of the molecule's rotational period and vanishes when the sudden regime is attained for shorter pulses. We applied our treatment to the much-studied 87Rb2 molecule in the last bound vibrational levels of its lowest singlet and triplet electronic states. Our calculations indicate that 15 and 1.5 ns laser pulses of an intensity in excess of 5 × 109 W/cm2 are capable of dissociating the molecule due to the vibrational shift. Lesser shifts can be used to fine-tune the rovibrational levels and thereby affect collisional resonances by the nonresonant light. The energy shifts due to laser intensities of 109 W/cm2 may be discernible spectroscopically, with a 10 MHz resolution.}, author = {Mikhail Lemeshko and Friedrich, Břetislav}, journal = {Journal of Physical Chemistry A}, number = {36}, pages = {9848 -- 9854}, publisher = {American Chemical Society}, title = {{Fine-tuning molecular energy levels by nonresonant laser pulses}}, doi = {10.1021/jp1032299}, volume = {114}, year = {2010}, } @article{2197, abstract = {We present an analytic model of the refractive index for matter waves propagating through atomic or molecular gases. The model, which combines the Wentzel-Kramers-Brillouin (WKB) treatment of the long-range attraction with the Fraunhofer model treatment of the short-range repulsion, furnishes a refractive index in compelling agreement with recent experiments of Jacquey [Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.98.240405 98, 240405 (2007)] on Li atom matter waves passing through dilute noble gases. We show that the diffractive contribution, which arises from scattering by a two-dimensional "hard core" of the potential, is essential for obtaining a correct imaginary part of the refractive index.}, author = {Mikhail Lemeshko and Friedrich, Břetislav}, journal = {Physical Review A - Atomic, Molecular, and Optical Physics}, number = {2}, publisher = {American Physical Society}, title = {{Multiple scattering of matter waves: An analytic model of the refractive index for atomic and molecular gases}}, doi = {10.1103/PhysRevA.82.022711}, volume = {82}, year = {2010}, } @inbook{2309, abstract = {The importance of chloride ions in cell physiology has not been fully recognized until recently, in spite of the fact that chloride (Cl-), together with bicarbonate, is the most abundant free anion in animal cells, and performs or determines fundamental biological functions in all tissues. For many years it was thought that Cl- was distributed in thermodynamic equilibrium across the plasma membrane of most cells. Research carried out during the last couple of decades has led to a dramatic change in this simplistic view. We now know that most animal cells, neurons included, exhibit a non-equilibrium distribution of Cl- across their plasma membranes. Over the last 10 to 15 years, with the growth of molecular biology and the advent of new optical methods, an enormous amount of exciting new information has become available on the molecular structure and function of Cl- channels and carriers. In nerve cells, Cl- channels and carriers play key functional roles in GABA- and glycine-mediated synaptic inhibition, neuronal growth and development, extracellular potassium scavenging, sensory-transduction, neurotransmitter uptake and cell volume control. Disruption of Cl- homeostasis in neurons underlies pathological conditions such as epilepsy, deafness, imbalance, brain edema and ischemia, pain and neurogenic inflammation. This book is about how chloride ions are regulated and how they cross the plasma membrane of neurons. It spans from molecular structure and function of carriers and channels involved in Cl- transport to their role in various diseases. * The first comprehensive book on the structure, molecular biology, cell physiology, and role in diseases of chloride transporters / channels in the nervous system in almost 20 years * Chloride is the most abundant free anion in animal cells. THis book summarizes and integrates for the first time the important research of the past two decades that has shown that Cl- channels and carriers play key functional roles in GABA- and glycine-mediated synaptic inhibition, neuronal growth and development, extracellular potassium scavenging, sensory-transduction, neurotransmitter uptake and cell volume control. * The first book that systematically discusses the result of disruption of Cl- homeostasis in neurons which underlies pathological conditions such as epilepsy, deafness, imbalance, brain edema and ischemia, pain and neurogenic inflammation. * Spanning topics from molecular structure and function of carriers and channels involved in Cl- transport to their role in various diseases. * Involves all of the leading researchers in the field. * INcludes an extensive introductory section that covers basic thermodynamic and kinetics aspects of Cl- transport, as well as current methods for studying Cl- regulation, spanning from fluorescent dyes in single cells to knock-out models to make the book available for a growing population of graduate students and postdocs entering the field.}, author = {Stauber, Tobias and Gaia Novarino and Jentsch, Thomas J}, booktitle = {Physiology and Pathology of chloride transporters and channels in the nervous system}, pages = {209 -- 231}, publisher = {Elsevier}, title = {{The CLC family of chloride channels and transporters}}, doi = {10.1016/B978-0-12-374373-2.00012-1}, year = {2010}, } @article{231, abstract = {Let X be a projective cubic hypersurface of dimension 11 or more, which is defined over ℚ. We show that X(ℚ) is non-empty provided that the cubic form defining X can be written as the sum of two forms that share no common variables.}, author = {Timothy Browning and Colliot-Thélène, Jean-Louis}, journal = {Compositio Mathematica}, number = {4}, pages = {853 -- 885}, publisher = {Cambridge University Press}, title = {{Rational points on cubic hypersurfaces that split off a form. With an appendix by J-L Colliot-Thélène}}, doi = {10.1112/S0010437X0900459X}, volume = {146}, year = {2010}, } @article{2310, abstract = {Loss of the endosomal anion transport protein ClC-5 impairs renal endocytosis and underlies human Dent's disease. ClC-5 is thought to promote endocytosis by facilitating endosomal acidification through the neutralization of proton pump currents. However, ClC-5 is a 2 chloride (Cl-)/proton (H+) exchanger rather than a Cl- channel. We generated mice that carry the uncoupling E211A (unc) mutation that converts CLC-5 into a pure CL- conductor. Adenosine triphosphate (ATP)-dependent acidification of renal endosomes was reduced in mice in which ClC-5 was knocked out, but normal in Clcn5unc mice. However, their proximal tubular endocytosis was also impaired. Thus, endosomal chloride concentration, which is raised by CLC-5 in exchange for protons accumulated by the H+-ATPase, may play a role in endocytosis.}, author = {Gaia Novarino and Weinert, Stefanie and Rickheit, Gesa and Jentsch, Thomas J}, journal = {Science}, number = {5984}, pages = {1398 -- 1401}, publisher = {American Association for the Advancement of Science}, title = {{Endosomal chloride-proton exchange rather than chloride conductance is crucial for renal endocytosis}}, doi = {10.1126/science.1188070}, volume = {328}, year = {2010}, } @article{2311, abstract = {Inactivation of the mainly endosomal 2Cl-/H+- exchanger ClC-5 severely impairs endocytosis in renal proximal tubules and underlies the human kidney stone disorder Dent's disease. In heterologous expression systems, interaction of the E3 ubiquitin ligasesWWP2and Nedd4-2 with a "PY-motif" in the cytoplasmic C terminus of ClC-5 stimulates its internalization from the plasma membrane and may influence receptor-mediated endocytosis. We asked whether this interaction is relevant in vivo and generated mice in which the PY-motif was destroyed by a point mutation. Unlike ClC-5 knock-out mice, these knock-in mice displayed neither low molecular weight proteinuria nor hyperphosphaturia, and both receptor-mediated and fluid-phase endocytosis were normal. The abundances and localizations of the endocytic receptor megalin and of the Na+-coupled phosphate transporter NaPi-2a (Npt2) were not changed, either. To explore whether the discrepancy in results from heterologous expression studies might be due to heteromerization of ClC-5 with ClC-3 or ClC-4 in vivo, we studied knock-in mice additionally deleted for those related transporters. Disruption of neither ClC-3 nor ClC-4 led to proteinuria or impaired proximal tubular endocytosis by itself, nor in combination with the PY-mutant of ClC-5. Endocytosis of cells lacking ClC-5 was not impaired further when ClC-3 or ClC-4 was additionally deleted. We conclude that ClC-5 is unique among CLC proteins in being crucial for proximal tubular endocytosis and that PY-motif-dependent ubiquitylation of ClC-5 is dispensable for this role.}, author = {Rickheit, Gesa and Wartosch, Lena and Schaffer, Sven and Stobrawa, Sandra M and Gaia Novarino and Weinert, Stefanie and Jentsch, Thomas J}, journal = {Journal of Biological Chemistry}, number = {23}, pages = {17595 -- 17603}, publisher = {American Society for Biochemistry and Molecular Biology}, title = {{Role of ClC-5 in renal endocytosis is unique among ClC exchangers and does not require PY-motif-dependent ubiquitylation}}, doi = {10.1074/jbc.M110.115600}, volume = {285}, year = {2010}, } @article{232, abstract = {We study the average order of the divisor function, as it ranges over the values of binary quartic forms that are reducible over ℚ.}, author = {De La Bretèche, Régis and Browning, Timothy D}, journal = {Journal fur die Reine und Angewandte Mathematik}, number = {646}, pages = {1 -- 44}, publisher = {Walter de Gruyter}, title = {{Le problème des diviseurs pour des formes binaires de degré 4}}, doi = {10.1515/CRELLE.2010.064}, year = {2010}, }