Logo

Modular Forms, Hecke Operators, and Modular Abelian Varieties

Small book cover: Modular Forms, Hecke Operators, and Modular Abelian Varieties

Modular Forms, Hecke Operators, and Modular Abelian Varieties
by

Publisher: University of Washington
Number of pages: 154

Description:
Contents: The Main objects; Modular representations and algebraic curves; Modular Forms of Level 1; Analytic theory of modular curves; Modular Symbols; Modular Forms of Higher Level; Newforms and Euler Products; Hecke operators as correspondences; Abelian Varieties; Abelian Varieties Attached to Modular Forms; L-functions; The Birch and Swinnerton-Dyer Conjecture.

Home page url

Download or read it online for free here:
Download link
(880KB, PDF)

Similar books

Book cover: Harmonic Analysis, the Trace Formula, and Shimura VarietiesHarmonic Analysis, the Trace Formula, and Shimura Varieties
by - American Mathematical Society
The goal of this volume is to provide an entry point into the challenging field of the modern theory of automorphic forms. It is directed on the one hand at graduate students and professional mathematicians who would like to work in the area.
(6586 views)
Book cover: Introduction to Shimura VarietiesIntroduction to Shimura Varieties
by
This is an introduction to the theory of Shimura varieties, or, in other words, to the arithmetic theory of automorphic functions and holomorphic automorphic forms. Because of their brevity, many proofs have been omitted or only sketched.
(4189 views)
Book cover: Predicative ArithmeticPredicative Arithmetic
by - Princeton Univ Pr
The book based on lecture notes of a course given at Princeton University in 1980. From the contents: the impredicativity of induction, the axioms of arithmetic, order, induction by relativization, the bounded least number principle, and more.
(11563 views)
Book cover: Algorithms for Modular Elliptic CurvesAlgorithms for Modular Elliptic Curves
by - Cambridge University Press
The author describes the construction of modular elliptic curves giving an algorithm for their computation. Then algorithms for the arithmetic of elliptic curves are presented. Finally, the results of the implementations of the algorithms are given.
(9753 views)