Basic structures of function field arithmetic / David Goss

Auteur: Goss, David (1952-2017) - AuteurType de document: Livre numériqueCollection: Ergebnisse der mathematik und ihrer grenzgebiete ; 35Langue: anglaisÉditeur: Berlin : Springer, cop. 1996 ISBN: 9783540635413 Note: The book under review is a thorough and very readable introduction to the arithmetic of function fields of one variable over a finite field, by an author who has made fundamental contributions to the field. It serves as a definitive reference volume, as well as offering graduate students with a solid understanding of algebraic number theory the opportunity to quickly reach the frontiers of knowledge in an important area of mathematics. ... (MSN) Sujets MSC: 11G09 Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Drinfel'd modules; higher-dimensional motives, etc
11T55 Number theory -- Finite fields and commutative rings (number-theoretic aspects) -- Arithmetic theory of polynomial rings over finite fields
11T24 Number theory -- Finite fields and commutative rings (number-theoretic aspects) -- Other character sums and Gauss sums
11R58 Number theory -- Algebraic number theory: global fields -- Arithmetic theory of algebraic function fields
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The book under review is a thorough and very readable introduction to the arithmetic of function fields of one variable over a finite field, by an author who has made fundamental contributions to the field. It serves as a definitive reference volume, as well as offering graduate students with a solid understanding of algebraic number theory the opportunity to quickly reach the frontiers of knowledge in an important area of mathematics. ... (MSN)

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