Description

Book Synopsis
Zeta and L-functions have played a major part in the development of number theory. This book for graduate students and researchers presents a big picture of some key results and surrounding theory, whilst taking the reader on a journey through the history of their development.

Trade Review
'The book will be of interest to both young mathematicians and physicists as well as experienced scholars.' Nikolaj M. Glazunov, zbMATH Open

Table of Contents
Introduction; 1. The Riemann zeta function; 2. The zeta function of a Z-scheme of finite type; 3. The Weil Conjectures; 4. L-functions from number theory; 5. L-functions from geometry; 6. Motives; Appendix A. Karoubian and monoidal categories; Appendix B. Triangulated categories, derived categories, and perfect complexes; Appendix C. List of exercises; Bibliography; Index.

Zeta and LFunctions of Varieties and Motives

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    A Paperback by Bruno Kahn

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      View other formats and editions of Zeta and LFunctions of Varieties and Motives by Bruno Kahn

      Publisher: Cambridge University Press
      Publication Date: 5/7/2020 12:00:00 AM
      ISBN13: 9781108703390, 978-1108703390
      ISBN10: 1108703399

      Description

      Book Synopsis
      Zeta and L-functions have played a major part in the development of number theory. This book for graduate students and researchers presents a big picture of some key results and surrounding theory, whilst taking the reader on a journey through the history of their development.

      Trade Review
      'The book will be of interest to both young mathematicians and physicists as well as experienced scholars.' Nikolaj M. Glazunov, zbMATH Open

      Table of Contents
      Introduction; 1. The Riemann zeta function; 2. The zeta function of a Z-scheme of finite type; 3. The Weil Conjectures; 4. L-functions from number theory; 5. L-functions from geometry; 6. Motives; Appendix A. Karoubian and monoidal categories; Appendix B. Triangulated categories, derived categories, and perfect complexes; Appendix C. List of exercises; Bibliography; Index.

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