Zeta and L-Functions of Varieties and Motives

List 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.

About the author

Bruno Kahn is Directeur de recherche at CNRS. He has written around 100 research papers in areas including algebraic and arithmetic geometry, algebraic K-theory and the theory of motives.

Summary

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.

Product details

• Authors: Bruno Kahn, Kahn Bruno
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 31.07.2020
• EAN: 9781108703390
• ISBN: 978-1-108-70339-0
• No. of pages: 214
• Series: London Mathematical Society Lecture Note Series; London Mathematical Society Le
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous; MATHEMATICS / Number Theory, geometry, Number Theory, History of mathematics