Cubic forms and the circle method [Documento eletrónico] / by Tim Browning
Language: eng.Country: Switzerland, Swiss Confederation.Publication: Cham : Springer International Publishing, 2021Description: XIV, 166 p. : il.ISBN: 978-3-030-86872-7.Series: Progress in mathematics, 343Subject - Topical Name: Number theory | Algebraic geometry Online Resources:Click here to access onlineItem type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode | |
---|---|---|---|---|---|---|---|---|
E-Books | Biblioteca NOVA FCT Online | Não Ficção | QA241.SPR FCT (Browse shelf(Opens below)) | 1 | Available | 97056 |
Browsing Biblioteca NOVA FCT shelves, Shelving location: Online, Collection: Não Ficção Close shelf browser (Hides shelf browser)
QA241.SPR FCT Integer sequences, divisibility, Lucas and Lehmer sequences | QA241.SPR FCT Modular forms, fundamental tools of mathematics | QA241.SPR FCT Martin Kneser collected works | QA241.SPR FCT Cubic forms and the circle method | QA241.SPR FCT Excursions in number theory, algebra, and analysis | QA241.SPR FCT Advances in non-archimedean analysis and applications, the p-adic methodology in STEAM-H | QA241.SPR FCT Around the unit circle, Mahler measure, integer matrices and roots of unity |
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.
There are no comments on this title.