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  1. Home
  2. Books
  3. Zeta and L-Functions of Varieties and Motives
  • Cited by 2
  • Bruno Kahn, Institut de Mathématiques de Jussieu-Paris Rive Gauche
Publisher:
Cambridge University Press
Online publication date:
April 2020
Print publication year:
2020
Online ISBN:
9781108691536
DOI:
https://doi.org/10.1017/9781108691536
Subjects:
Mathematics (general), Mathematics, Number Theory
Series:
London Mathematical Society Lecture Note Series (462)
Information

Book description

The amount of mathematics invented for number-theoretic reasons is impressive. It includes much of complex analysis, the re-foundation of algebraic geometry on commutative algebra, group cohomology, homological algebra, and the theory of motives. Zeta and L-functions sit at the meeting point of all these theories and have played a profound role in shaping the evolution of number theory. This book presents a big picture of zeta and L-functions and the complex theories surrounding them, combining standard material with results and perspectives that are not made explicit elsewhere in the literature. Particular attention is paid to the development of the ideas surrounding zeta and L-functions, using quotes from original sources and comments throughout the book, pointing the reader towards the relevant history. Based on an advanced course given at Jussieu in 2013, it is an ideal introduction for graduate students and researchers to this fascinating story.

Reviews

‘The book will be of interest to both young mathematicians and physicists as well as experienced scholars.’

Nikolaj M. Glazunov Source: zbMATH Open

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