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: Lectures On Irregularities Of DistributionLectures On Irregularities Of Distribution
by - Tata Institute of Fundamental Research
The theory of Irregularities of Distribution began as a branch of Uniform Distributions, but is of independent interest. In these lectures the author restricted himself to distribution problems with a geometric interpretation.
(4593 views)
Book cover: Notes on Fermionic Fock Space for Number TheoristsNotes on Fermionic Fock Space for Number Theorists
by - The University of Arizona
This is a compilation of exercises, worked examples and key references that the author compiled in order to help readers learn their way around fermionic Fock space. The text is suitable for use by graduate students with an interest in number theory.
(7122 views)
Book cover: Essays on the Theory of NumbersEssays on the Theory of Numbers
by - The Open Court Publishing
This is a book combining two essays: 'Continuity and irrational numbers' - Dedekind's way of defining the real numbers from rational numbers; and 'The nature and meaning of numbers' where Dedekind offers a precise explication of the natural numbers.
(8056 views)
Book cover: Topics in the Theory of Quadratic ResiduesTopics in the Theory of Quadratic Residues
by - arXiv
Beginning with Gauss, the study of quadratic residues and nonresidues has subsequently led directly to many of the ideas and techniques that are used everywhere in number theory today, and the primary goal of these lectures is to use this study ...
(3068 views)