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, ...
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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 three.
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Add this copy of Modular Functions and Dirichlet Series in Number Theory to cart. £38.16, new condition, Sold by Equilibrium Worldbooks rated 5.0 out of 5 stars, ships from San Gabriel, CA, UNITED STATES, published 2012 by Springer-Verlag New York Inc..
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New in new dust jacket. Trade paperback (US). 217 p. Graduate Texts in Mathematics., 41. Audience: Professional and scholarly. Please double check the textbook description: Express shipping takes 3-5 days with free tracking number! Brand New Paperback International edition textbook, 2nd edition. Different ISBN number and book cover design. The content is exactly same as original US edition. The book printed in Black/White, the book cover may contain the foreign words and the restriction sale disclaimer.
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New in new dust jacket. Trade paperback (US). 217 p. Graduate Texts in Mathematics., 41. Audience: Professional and scholarly. ***INTERNATIONAL EDITION*** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments contain tracking numbers. Great professional textbook selling experience and expedite shipping service.
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New in new dust jacket. Sewn binding. Cloth over boards. 208 p. Undergraduate Texts in Mathematics, 41. Audience: General/trade. Please double check the textbook description: Express shipping takes 3-5 days with free tracking number! Brand New Paperback international edition textbook, 2nd edition. Different ISBN number and book cover design. The content is exactly same as original US edition. The book printed in Black/White, the book cover may contain the foreign words and the restriction sale disclaimer.
Add this copy of Modular Functions and Dirichlet Series in Number Theory to cart. £42.28, new condition, Sold by Aideo Textbook rated 5.0 out of 5 stars, ships from Arcadia, CA, UNITED STATES, published 1976 by Springer.
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New in new dust jacket. Sewn binding. Cloth over boards. 208 p. Undergraduate Texts in Mathematics, 41. Audience: General/trade. ***INTERNATIONAL EDITION*** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments contain tracking numbers. Great professional textbook selling experience and expedite shipping service.
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First printing of the 2nd edition; 234 pp., Hardcover, previous owner's name to the front free endpaper, else fine. -If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country.
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Apostol's book begins with fairly standart study of elliptic functions (doubly periodic meromorphic functions) and then takes on the Dirichlet eta function aiming at Rademacher's celebrated formula for the number of partition of a given integer; a subject you could find in rademacher's book: "topics in analytical number theory" provided you can find the said book which seems to have disappearred from earth's surface; another reference would be Chandrasekharan's "Arithmetical functions" which is equally hard to find. Therefore this book is the only available textbook on the subject; should appeal to every one interested in this difficult field.
