Könyv Modular Functions and Dirichlet Series in Number Theory Tom M. Apostol

Modular Functions and Dirichlet Series in Number Theory

Szerző: Tom M. Apostol
Nyelv: Angol
Kötés: Kemény kötésű
Elérhetőség: Beszállítói készleten
Küldés 10-13 napon belül
31 904 Ft
This volume is a sequel to the author's Introduction to Analytic Number Theory (UTM 1976, 3rd Printi...

Információk a könyvről

Szerző
Nyelv
Angol
Kötés
Könyv - Kemény kötésű
Kiadva
1997
oldal
207
EAN
9780387971278
ISBN
0387971270
Enbook ID
02105846
Súly
492
Méretek
162 x 241 x 19

Teljes leírás

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.

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