Lectures on Siegel's Modular Functions
by H. Maass
Publisher: Tata Institute of Fundamental Research 1955
ISBN/ASIN: B0007JLBX4
Number of pages: 286
Description:
Contents: The Modular Group of Degree n; The Symplectic group of degree n; Reduction Theory of Positive Definite Quadratic Forms; The Fundamental Domain of the Modular Group of Degree n; Modular Forms of Degree n; Algebraic dependence of modular forms; The symplectic metric; Lemmas concerning special integrals; etc.
Download or read it online for free here:
Download link
(1.3MB, PDF)
Similar books
Lectures on the topological recursion for Higgs bundles and quantum curvesby Olivia Dumitrescu, Motohico Mulase - arXiv
The paper aims at giving an introduction to the notion of quantum curves. The main purpose is to describe the discovery of the relation between the topological recursion and the quantization of Hitchin spectral curves associated with Higgs bundles.
(5336 views)
Geometric Complexity Theory: An Introduction for Geometersby J.M. Landsberg - arXiv
This is survey of recent developments in, and a tutorial on, the approach to P v. NP and related questions called Geometric Complexity Theory. The article is written to be accessible to graduate students. Numerous open questions are presented.
(7992 views)
Lectures on Birational Geometryby Caucher Birkar - arXiv
Topics covered: introduction into the subject, contractions and extremal rays, pairs and singularities, Kodaira dimension, minimal model program, cone and contraction, vanishing, base point freeness, flips and local finite generation, etc.
(7822 views)
Geometry Unboundby Kiran S. Kedlaya
This is not a typical math textbook, it does not present full developments of key theorems, but it leaves strategic gaps in the text for the reader to fill in. The original text underlying this book was a set of notes for the Math Olympiad Program.
(15347 views)