[{"type":"book","date_created":"2021-12-05T23:01:46Z","date_updated":"2022-06-03T07:38:33Z","_id":"10415","volume":343,"title":"Cubic Forms and the Circle Method","oa_version":"None","publisher":"Springer Nature","author":[{"last_name":"Browning","full_name":"Browning, Timothy D","id":"35827D50-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8314-0177","first_name":"Timothy D"}],"doi":"10.1007/978-3-030-86872-7","day":"01","alternative_title":["Progress in Mathematics"],"scopus_import":"1","article_processing_charge":"No","publication_status":"published","quality_controlled":"1","publication_identifier":{"issn":["0743-1643"],"isbn":["978-3-030-86871-0"],"eissn":["2296-505X"],"eisbn":["978-3-030-86872-7"]},"abstract":[{"lang":"eng","text":"The Hardy–Littlewood circle method was invented over a century ago to study integer solutions to special Diophantine equations, but it has since proven to be one of the most successful all-purpose tools available to number theorists. Not only is it capable of handling remarkably general systems of polynomial equations defined over arbitrary global fields, but it can also shed light on the space of rational curves that lie on algebraic varieties.  This book, in which the arithmetic of cubic polynomials takes centre stage, is aimed at bringing beginning graduate students into contact with some of the many facets of the circle method, both classical and modern. This monograph is the winner of the 2021 Ferran Sunyer i Balaguer Prize, a prestigious award for books of expository nature presenting the latest developments in an active area of research in mathematics."}],"intvolume":"       343","page":"XIV, 166","department":[{"_id":"TiBr"}],"month":"12","year":"2021","date_published":"2021-12-01T00:00:00Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","place":"Cham","citation":{"mla":"Browning, Timothy D. <i>Cubic Forms and the Circle Method</i>. Vol. 343, Springer Nature, 2021, doi:<a href=\"https://doi.org/10.1007/978-3-030-86872-7\">10.1007/978-3-030-86872-7</a>.","apa":"Browning, T. D. (2021). <i>Cubic Forms and the Circle Method</i> (Vol. 343). Cham: Springer Nature. <a href=\"https://doi.org/10.1007/978-3-030-86872-7\">https://doi.org/10.1007/978-3-030-86872-7</a>","ista":"Browning TD. 2021. Cubic Forms and the Circle Method, Cham: Springer Nature, XIV, 166p.","chicago":"Browning, Timothy D. <i>Cubic Forms and the Circle Method</i>. Vol. 343. Cham: Springer Nature, 2021. <a href=\"https://doi.org/10.1007/978-3-030-86872-7\">https://doi.org/10.1007/978-3-030-86872-7</a>.","short":"T.D. Browning, Cubic Forms and the Circle Method, Springer Nature, Cham, 2021.","ieee":"T. D. Browning, <i>Cubic Forms and the Circle Method</i>, vol. 343. Cham: Springer Nature, 2021.","ama":"Browning TD. <i>Cubic Forms and the Circle Method</i>. Vol 343. Cham: Springer Nature; 2021. doi:<a href=\"https://doi.org/10.1007/978-3-030-86872-7\">10.1007/978-3-030-86872-7</a>"},"language":[{"iso":"eng"}],"status":"public"},{"publication_identifier":{"eissn":["2296-505X"],"eisbn":["9-783-0346-0129-0"],"isbn":["9-783-0346-0128-3"],"issn":["0743-1643"]},"publication_status":"published","quality_controlled":"1","page":"XIII, 160","intvolume":"       277","abstract":[{"lang":"eng","text":"Winner of the Ferran Sunyer i Balaguer Prize 2009. First attempt to systematically survey the range of available tools from analytic number theory that can be applied to study the density of rational points on projective varieties. Designed to rapidly guide the reader to the many areas of ongoing research in the domain. Provides an extensive bibliography."}],"date_updated":"2021-12-21T10:56:12Z","_id":"227","volume":277,"type":"book","date_created":"2018-12-11T11:45:19Z","doi":"10.1007/978-3-0346-0129-0","author":[{"first_name":"Timothy D","orcid":"0000-0002-8314-0177","last_name":"Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87","full_name":"Browning, Timothy D"}],"day":"01","article_processing_charge":"No","scopus_import":"1","alternative_title":["Progress in Mathematics"],"oa_version":"None","publisher":"Birkhäuser Basel","title":"Quantitative Arithmetic of Projective Varieties","citation":{"ista":"Browning TD. 2009. Quantitative Arithmetic of Projective Varieties, Birkhäuser Basel, XIII, 160p.","chicago":"Browning, Timothy D. <i>Quantitative Arithmetic of Projective Varieties</i>. Vol. 277. Birkhäuser Basel, 2009. <a href=\"https://doi.org/10.1007/978-3-0346-0129-0\">https://doi.org/10.1007/978-3-0346-0129-0</a>.","mla":"Browning, Timothy D. <i>Quantitative Arithmetic of Projective Varieties</i>. Vol. 277, Birkhäuser Basel, 2009, doi:<a href=\"https://doi.org/10.1007/978-3-0346-0129-0\">10.1007/978-3-0346-0129-0</a>.","apa":"Browning, T. D. (2009). <i>Quantitative Arithmetic of Projective Varieties</i> (Vol. 277). Birkhäuser Basel. <a href=\"https://doi.org/10.1007/978-3-0346-0129-0\">https://doi.org/10.1007/978-3-0346-0129-0</a>","ama":"Browning TD. <i>Quantitative Arithmetic of Projective Varieties</i>. Vol 277. Birkhäuser Basel; 2009. doi:<a href=\"https://doi.org/10.1007/978-3-0346-0129-0\">10.1007/978-3-0346-0129-0</a>","short":"T.D. Browning, Quantitative Arithmetic of Projective Varieties, Birkhäuser Basel, 2009.","ieee":"T. D. Browning, <i>Quantitative Arithmetic of Projective Varieties</i>, vol. 277. Birkhäuser Basel, 2009."},"date_published":"2009-01-01T00:00:00Z","user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","language":[{"iso":"eng"}],"status":"public","extern":"1","publist_id":"7682","year":"2009","month":"01"}]