@article{12684,
  abstract     = {Given a place  ω  of a global function field  K  over a finite field, with associated affine function ring  Rω  and completion  Kω , the aim of this paper is to give an effective joint equidistribution result for renormalized primitive lattice points  (a,b)∈Rω2  in the plane  Kω2 , and for renormalized solutions to the gcd equation  ax+by=1 . The main tools are techniques of Goronik and Nevo for counting lattice points in well-rounded families of subsets. This gives a sharper analog in positive characteristic of a result of Nevo and the first author for the equidistribution of the primitive lattice points in  \ZZ2 .},
  author       = {Horesh, Tal and Paulin, Frédéric},
  issn         = {2118-8572},
  journal      = {Journal de Theorie des Nombres de Bordeaux},
  number       = {3},
  pages        = {679--703},
  publisher    = {Centre Mersenne},
  title        = {{Effective equidistribution of lattice points in positive characteristic}},
  doi          = {10.5802/JTNB.1222},
  volume       = {34},
  year         = {2022},
}

@article{6319,
  abstract     = {Nous étudions le comportement asymptotique du nombre de variétés dans une certaine classe ne satisfaisant pas le principe de Hasse. Cette étude repose sur des résultats récemmentobtenus par Colliot-Thélène.},
  author       = {Bretèche, Régis de la and Browning, Timothy D},
  issn         = {1246-7405},
  journal      = {Journal de Théorie des Nombres de Bordeaux},
  number       = {1},
  pages        = {25--44},
  publisher    = {Cellule MathDoc/CEDRAM},
  title        = {{Contre-exemples au principe de Hasse pour certains tores coflasques}},
  doi          = {10.5802/jtnb.857},
  volume       = {26},
  year         = {2014},
}

@article{2904,
  abstract     = {Generalized van der Corput sequences are onedimensional, infinite sequences in the unit interval. They are generated from permutations in integer base b and are the building blocks of the multi-dimensional Halton sequences. Motivated by recent progress of Atanassov on the uniform distribution behavior of Halton sequences, we study, among others, permutations of the form P(i) = ai (mod b) for coprime integers a and b. We show that multipliers a that either divide b - 1 or b + 1 generate van der Corput sequences with weak distribution properties. We give explicit lower bounds for the asymptotic distribution behavior of these sequences and relate them to sequences generated from the identity permutation in smaller bases, which are, due to Faure, the weakest distributed generalized van der Corput sequences.},
  author       = {Pausinger, Florian},
  issn         = {2118-8572},
  journal      = {Journal de Theorie des Nombres des Bordeaux},
  number       = {3},
  pages        = {729 -- 749},
  publisher    = {Université de Bordeaux},
  title        = {{Weak multipliers for generalized van der Corput sequences}},
  doi          = {10.5802/jtnb.819},
  volume       = {24},
  year         = {2012},
}