Lectures on Siegel Modular Forms and Representation by Quadratic Forms
by Y. Kitaoka
Publisher: Tata Institute of Fundamental Research 1986
ISBN/ASIN: 0387164723
ISBN-13: 9780387164724
Number of pages: 197
Description:
This book is concerned with the problem of representation of positive definite quadratic forms by other such forms. From the table of contents: Preface; Fourier Coefficients of Siegel Modular Forms; Arithmetic of Quadratic Forms.
Download or read it online for free here:
Download link
(1.1MB, PDF)
Similar books
Complex Multiplicationby J. S. Milne
These are preliminary notes for a modern account of the theory of complex multiplication. The reader is expected to have a good knowledge of basic algebraic number theory, and basic algebraic geometry, including abelian varieties.
(13109 views)
Algebraic Number Theoryby J.S. Milne
Contents: Preliminaries From Commutative Algebra; Rings of Integers; Dedekind Domains; Factorization; The Finiteness of the Class Number; The Unit Theorem; Cyclotomic Extensions; Fermat's Last Theorem; Valuations; Local Fields; Global Fields.
(19922 views)
Lectures on Field Theory and Ramification Theoryby Sudhir R. Ghorpade - Indian Institute of Technology, Bombay
These are notes of a series of lectures, aimed at covering the essentials of Field Theory and Ramification Theory as may be needed for local and global class field theory. Included are the two sections on cyclic extensions and abelian extensions.
(12336 views)
Heegner Points and Rankin L-Seriesby Henri Darmon, Shou-Wu Zhang - Cambridge University Press
This volume has the Gross-Zagier formula and its avatars as a common unifying theme. It covers the theory of complex multiplication, automorphic forms, the Rankin-Selberg method, arithmetic intersection theory, Iwasawa theory, and other topics.
(11219 views)