Modular functions and Dirichlet series in number theory

Apostol, Tom M.

Modular functions and Dirichlet series in number theory by Tom M. Apostol - 2nd ed. - New York : Springer, ©1990 - x, 204 p. : ill. ; 24 cm. - Graduate texts in mathematics ; 41 .

Includes bibliographical references (p. 196-198) and index.

Chapter 1 : Elliptic functions Chapter 2 : The modular group and modular functions Chapter 3 : The Dedekind eta function Chapter 4 : Congruences for the coefficients of the modular function j Chapter 5 : Rademacher’s series for the partition function Chapter 6 : Modular forms with multiplicative coefficients Chapter 7 : Kronecker’s theorem with applications Chapter 8 : General Dirichlet series and Bohr’s equivalence theorem Chapter 9 : Back Matter

9781461269786


Number theory.
Elliptic functions.
Modular functions.
Dirichlet series.

QA241 / .A62 1990

512.7 / APO-M
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