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.
Discover how zeta and L-functions have shaped the development of major parts of mathematics over the past two centuries.
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.