Check nearby libraries
Buy this book
This volume is a sequel to the author's Introduction to Analytic Number Theory (UTM 1976, 3rd Printing 1986). 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 elliptic and modular functions with some of their number-theoretic applications. Among the major topics covered are Rademacher's convergent series for the partition modular function, Lehner's congruences for the Fourier coefficients of the modular function j, and Hecke's theory of entire forms with multiplicative Fourier coefficients. The last chapter gives an account of Bohr's theory of equivalence of general Dirichlet series. In addition to the correction of misprints, minor changes in the exercises and an updated bibliography, this new edition includes an alternative treatment of the transformation formula for the Dedekind eta function, which appears as a five-page supplement to Chapter 3.
Check nearby libraries
Buy this book
Subjects
Number theory, Elliptic functions, Modular functions, Series, MathematicsShowing 4 featured editions. View all 4 editions?
Edition | Availability |
---|---|
1
Modular Functions and Dirichlet Series in Number Theory
2012, Springer London, Limited
in English
1468499106 9781468499100
|
zzzz
Libraries near you:
WorldCat
|
2
Modular Functions and Dirichlet Series in Number Theory
2012, Springer London, Limited
in English
1461209994 9781461209997
|
aaaa
Libraries near you:
WorldCat
|
3
Modular Functions and Dirichlet Series in Number Theory
Oct 02, 2012, Springer
paperback
1461269784 9781461269786
|
zzzz
Libraries near you:
WorldCat
|
4
Modular Functions and Dirichlet Series in Number Theory
Oct 20, 2011, Springer
paperback
1461210003 9781461210009
|
zzzz
Libraries near you:
WorldCat
|
Book Details
Classifications
The Physical Object
ID Numbers
Community Reviews (0)
Feedback?History
- Created February 27, 2022
- 2 revisions
Wikipedia citation
×CloseCopy and paste this code into your Wikipedia page. Need help?
December 29, 2022 | Edited by Tom Morris | merge authors |
February 27, 2022 | Created by ImportBot | Imported from Better World Books record |