Download e-book for iPad: Elliptic and Modular Functions from Gauss to Dedekind to by Ranjan Roy

By Ranjan Roy

This thorough paintings provides the elemental result of modular functionality conception as constructed in the course of the 19th and early-twentieth centuries. It beneficial properties attractive formulation and derives them utilizing skillful and inventive manipulations, specially classical tools usually ignored this present day. beginning with the paintings of Gauss, Abel, and Jacobi, the booklet then discusses the test by means of Dedekind to build a conception of modular features autonomous of elliptic capabilities. The latter a part of the e-book explains how Hurwitz accomplished this activity and comprises considered one of Hurwitz's landmark papers, translated by way of the writer, and delves into the paintings of Ramanujan, Mordell, and Hecke. For graduate scholars and specialists in modular varieties, this e-book demonstrates the relevance of those unique assets and thereby presents the reader with new insights into modern paintings during this area.

Show description

Read Online or Download Elliptic and Modular Functions from Gauss to Dedekind to Hecke PDF

Best calculus books

Download e-book for kindle: Mathematical Analysis: Foundations and Advanced Techniques by Mariano Giaquinta,Giuseppe Modica

Mathematical research: Foundations and complex innovations for features of a number of Variables builds upon the fundamental principles and strategies of differential and essential calculus for capabilities of a number of variables, as defined in an previous introductory quantity. The presentation is essentially fascinated by the principles of degree and integration thought.

The Theory of H(b) Spaces: Volume 1 (New Mathematical - download pdf or read online

An H(b) area is outlined as a suite of analytic features that are within the photo of an operator. the speculation of H(b) areas bridges classical topics: advanced research and operator conception, which makes it either attractive and significant. the 1st quantity of this finished remedy is dedicated to the initial topics required to appreciate the basis of H(b) areas, corresponding to Hardy areas, Fourier research, necessary illustration theorems, Carleson measures, Toeplitz and Hankel operators, a variety of kinds of shift operators, and Clark measures.

Download e-book for kindle: Nonlinear Problems in Abstract Cones (Notes and reports in by Dajun Guo,V. Lakshmikantham,William F. Ames

Notes and reviews in arithmetic in technology and Engineering, quantity five: Nonlinear difficulties in summary Cones provides the research of nonlinear difficulties in summary cones. This publication makes use of the idea of cones coupled with the fastened aspect index to enquire optimistic mounted issues of assorted sessions of nonlinear operators.

New PDF release: Vanishing Viscosity Method: Solutions to Nonlinear Systems

The booklet summarizes numerous mathematical elements of the vanishing viscosity approach and considers its functions in learning dynamical platforms corresponding to dissipative platforms, hyperbolic conversion structures and nonlinear dispersion platforms. together with unique examine effects, the ebook demonstrates easy methods to use such the right way to remedy PDEs and is a necessary reference for mathematicians, physicists and engineers operating in nonlinear technology.

Extra info for Elliptic and Modular Functions from Gauss to Dedekind to Hecke

Example text

Download PDF sample

Elliptic and Modular Functions from Gauss to Dedekind to Hecke by Ranjan Roy


by Richard
4.0

Rated 4.10 of 5 – based on 46 votes