Modular Functions and Dirichlet Series in Number Theory: 41 - Rilegato

Apostol, Tom D.

Rilegato

ISBN 10: 0387971270 ISBN 13: 9780387971278

Casa editrice: Springer Nature, 1997

Riassunto

A new edition of a classical treatment of elliptic and modular functions with some of their number-theoretic applications, this text offers an updated bibliography and an alternative treatment of the transformation formula for the Dedekind eta function. It covers many topics, such as Hecke’s theory of entire forms with multiplicative Fourier coefficients, and the last chapter recounts Bohr’s theory of equivalence of general Dirichlet series.

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Recensione

From the reviews of the second edition:

“Apostol is an excellent writer of mathematics and the topics that are covered in this book are covered thoroughly in a concise, precise manner. ... the writing is characterized by its easy, readable, fluid style. Each chapter is complemented with a nice set of exercises.” (Álvaro Lozano-Robledo, The Mathematical Association of America, June, 2011)

Contenuti

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

Dettagli dell'edizione

• Editore: Springer Nature
• Data di pubblicazione: 1997
• Lingua: Inglese
• ISBN 10: 0387971270
• ISBN 13: 9780387971278
• Rilegatura: Copertina rigida
• Numero edizione: 2
• Numero di pagine: 224
• Contatto del produttore: non disponibile
• Persona responsabile: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3,69115 Heidelberg, Germany; Heidelberg; 69115; Germania