7 edition of **Modular functions in analytic number theory** found in the catalog.

- 12 Want to read
- 21 Currently reading

Published
**1970**
by Markham Pub. Co. in Chicago
.

Written in English

- Number theory,
- Modular functions

**Edition Notes**

Statement | [by] Marvin I. Knopp. |

Series | Markham mathematics series |

Classifications | |
---|---|

LC Classifications | QA241 .K67 |

The Physical Object | |

Pagination | x, 150 p. |

Number of Pages | 150 |

ID Numbers | |

Open Library | OL4459162M |

ISBN 10 | 0841010005 |

LC Control Number | 79122307 |

Extensive and detailed, this volume features 40 articles by leading researchers on topics in analytic number theory, probabilistic number theory, irrationality and transcendence, Diophantine analysis, partitions, basic hypergeometric series, and modular forms. The second volume presupposes a background in number theory com parable to that provided in the first volume, together with a knowledge of the basic concepts of complex analysis. Most of the present volume is devoted to elliptic functions and modular functions with some of their number-theoretic applications.

This volume is a sequel to the author's "Introduction to Analytic Number Theory" (UTM , 3rd printing ). It presupposes an undergraduate background in number theory comparable to that provided in the first volume, together with a knowledge of the basic concepts of complex analysis. Most of this book is devoted to a classical treatment of 5/5(1). Regarding proving a series result from Tom M Apostol Modular functions and Dirichlet series in number theory 2 Doubt in exercise of Book Problems in analytic number theory by My Ram Murthy.

This book provides the most important step towards a rigorous foundation of the Fukaya category in general context. In Volume I, general deformation theory of the Floer cohomology is developed in both algebraic and geometric contexts. An essentially self-contained homotopy theory of filtered \(A_\infty\) algebras and \(A_\infty\) bimodules and. Besides the Dirichlet L-functions, there are more general constructions of L-functions based on arithmetic and geometric objects, like varieties over number fields and modular forms [9] [10]. Some Author: Marc Hindry.

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The second volume presupposes a background in number theory com parable to that provided in the first volume, together with a knowledge of the basic concepts of complex analysis. Most of the present volume is devoted to elliptic functions and modular functions with some of their number-theoretic applications.

The book is essentially self-contained, assuming only a good first-year course in analysis. The excellent exposition presents the beautiful interplay between modular forms and Modular functions in analytic number theory book theory, making the book an excellent introduction to analytic number theory for a beginning graduate by: The book is essentially self-contained, assuming only a good first-year course in analysis.

The excellent exposition presents the beautiful interplay between modular forms and number theory, making the book an excellent introduction to analytic number theory for a beginning graduate student. Modular Functions in Analytic Number Theory.

点击放大图片 出版社: American Mathematical Society. 作者: Marvin I. Knopp 出版时间: 年12月15 日. 10位国际标准书号: 13位国际标准. If you want to learn the material, learn it quickly, learn it in a way that free from roadblocks and detours, this is the book.

It is an excellent intro to modular forms, modular functions, the j-invariant, the Weierstrass elliptic functions and the Hecke operators, in the context of the modular group SL(2,Z). The only criticisms would be/5(6). ISBN: OCLC Number: Description: xii, pages: illustrations ; 24 cm: Contents: The Modular Group and Certain Subgroups: 1 The modular group; 2 A fundamental region for $\Gamma(1)$; 3 Some subgroups of $\Gamma(1)$; 4 Fundamental regions of subgroups Modular Functions and Forms: 1 Multiplier systems; 2 Parabolic points; 3 Fourier expansions; 4.

Additional Physical Format: Online version: Knopp, Marvin Isadore, Modular functions in analytic number theory.

Chicago, Markham Pub. The second volume presupposes a background in number theory com parable to that provided in the first volume, together with a knowledge of the basic concepts of complex analysis.

Most of the present volume is devoted to elliptic functions and modular functions with some of their number-theoretic s: 1. Modular functions in analytic number theory [by] Marvin I. Knopp. Author Knopp, Marvin Isadore, Format Book; Language English; Published/ Created Chicago, Markham Pub.

[] Description x, p. 24 cm. Details Subject(s) Number theory; Modular functions; Series. Modular Functions and Dirichlet Series in Number Theory Tom M. Apostol (auth.) This volume is a sequel to the author's Introduction to Analytic Number Theory (UTM3rd Printing ). Analytic Number Theory A Tribute to Gauss and Dirichlet 7 AMS CMI Duke and Tschinkel, Editors pages on 50 lb stock • 1/2 inch spine Analytic Number Theory A Tribute to Gauss and Dirichlet William Duke Yuri Tschinkel Editors CMIP/7 4-color process Articles in this volume are based on talks given at the Gauss–.

The contents span a broad range of themes from contemporary number theory, with the majority having an analytic flavor. Keywords Modular form Riemann zeta function analytic number theory distribution integral number theory zeta function. Second, modular forms are deeply connected with several number theoretic objects.

(Answer to Question 2) The easiest application of modular forms to understand is in classic analytic number theory. Modular forms often act as generating functions for several interesting arithmetic functions.

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And don’t worry, we won’t suspend your account or charge you for late items. Modular Functions and Dirichlet Series in Number Theory (can be considered a continuation of the book above) I absolutely plan to read them in the future, but I'm going through some of his other books right now.

Ram Murty's Problems in Analytic Number Theory is stellar as it has a ton of problems to work out. Modular Functions in Analytic Number Theory: Second Edition Marvin I. Knopp Publication Year: ISBN ISBN Modular Functions and Dirichlet Series in Number Theory Tom M.

Apostol This volume is a sequel to the author's Introduction to Analytic Number Theory (UTM3rd Printing ). Introduction to Analytic Number Theory - Ebook written by Tom M.

Apostol. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read Introduction to Analytic Number Theory. Buy Modular Functions and Dirichlet Series in Number Theory: v. 41 (Graduate Texts in Mathematics) Corr.

2nd by Apostol, Tom M. (ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on eligible orders/5(6). The Modular Group and Certain Subgroups: 1 The modular group; 2 A fundamental region for $\Gamma(1)$; 3 Some subgroups of $\Gamma(1)$; 4 Fundamental regions of subgroups Modular Functions and Forms: 1 Multiplier systems; 2 Parabolic points; 3 Fourier expansions; 4 Definitions of modular function and modular form; 5 Several important theorems.

Starting with the work of Gauss, Abel, and Jacobi, the book then discusses the attempt by Dedekind to construct a theory of modular functions independent of elliptic functions. The latter part of the book explains how Hurwitz completed this task and includes one of Hurwitz's landmark papers, translated by the author, and delves into the work of Cited by: 9.( views) Analytic Number Theory by Giuseppe Rauti - viXra, The aim of this paper is to present some topics in analytic number theory: classical results in prime number theory, the Dirichlet's theorem on primes in arithmetic progressions, the analytic proof of the prime number theorem by D.

J. Newman, etc. ( views) Lectures on.- Buy Modular Functions and Dirichlet Series in Number Theory (Graduate Texts in Mathematics) book online at best prices in India on Read Modular Functions and Dirichlet Series in Number Theory (Graduate Texts in Mathematics) book reviews & author details and more at Free delivery on qualified orders/5(5).