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.
Rezensionen / Stimmen
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." (Alvaro Lozano-Robledo, The Mathematical Association of America, June, 2011)
Produkt-Info
Reihe
Auflage
2nd ed. 1990. Corr. 2nd printing
Sprache
Verlagsort
Zielgruppe
Editions-Typ
Produkt-Hinweis
Illustrationen
Maße
Höhe: 235 mm
Breite: 155 mm
Dicke: 18 mm
Gewicht
ISBN-13
978-0-387-97127-8 (9780387971278)
DOI
10.1007/978-1-4612-0999-7
Schweitzer Klassifikation
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.
