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: Arithmetic Duality TheoremsArithmetic Duality Theorems
by - BookSurge Publishing
This book, intended for research mathematicians, proves the duality theorems that have come to play an increasingly important role in number theory and arithmetic geometry, for example, in the proof of Fermat's Last Theorem.
(11164 views)
Book cover: An Introduction to the Smarandache FunctionAn Introduction to the Smarandache Function
by - Erhus Univ Pr
In the 1970's a Rumanian mathematician Florentin Smarandache created a new function in number theory, which consequences encompass many areas of mathematics.The purpose of this text is to examine some of those consequences.
(7965 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.
(11011 views)
Book cover: Geometry of Numbers with Applications to Number TheoryGeometry of Numbers with Applications to Number Theory
by - University of Georgia
The goal is to find and explore open questions in both geometry of numbers -- e.g. Lattice Point Enumerators, the Ehrhart-Polynomial, Minkowski's Convex Body Theorems, Minkowski-Hlawka Theorem, ... -- and its applications to number theory.
(5274 views)