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Synopsis
This volume is a sequel to INTRODUCTION TO ANALYTIC NUMBER THEORY (UTM). Most of the book is concerned with a classical treatment of elliptic and modular functions with applications to number theory. This includes the asymptotic theory of partitions and multiplicative properties of coefficients of modular forms. The book presupposes a knowledge of elementary number theory and the rudiments of real and complex analysis.
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Review
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)
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Modular Functions and Dirichlet Series in Number Theory, 2nd edition
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Soft cover. Condition: New. Dust Jacket Condition: New. 2nd Edition. **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 go through via USPS/UPS/DHL with tracking numbers. Great professional textbook selling experience and expedite shipping service. Seller Inventory # ABE-10652971272
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International Edition
Modular Functions and Dirichlet Series in Number Theory, 2nd
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Springer-Verlag New York Inc., New York, NY, 2012
ISBN 10: 1461269784
ISBN 13: 9781461269786
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Trade paperback. Condition: New in new dust jacket. 2nd ed. 1990. Revised. ***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. Trade paperback (US). 217 p. Graduate Texts in Mathematics., 41. Audience: Professional and scholarly. Seller Inventory # K612A0000366
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Modular Functions and Dirichlet Series in Number Theory
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Modular Functions and Dirichlet Series in Number Theory (Graduate Texts in Mathematics)
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Modular Functions and Dirichlet Series in Number Theory (Graduate Texts in Mathematics)
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Modular Functions and Dirichlet Series in Number Theory (Graduate Texts in Mathematics)
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Modular Functions and Dirichlet Series in Number Theory (Paperback)
Published by
Springer-Verlag New York Inc., New York, NY, 2012
ISBN 10: 1461269784
ISBN 13: 9781461269786
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Paperback. Condition: new. Paperback. This is the second volume of a 2-volume textbook* which evolved from a course (Mathematics 160) offered at the California Institute of Technology during the last 25 years. The second volume presupposes a background in number theory com parable to that provided in the first volume, together with a knowledge of the basic concepts of complex analysis. Most of the present volume is devoted to elliptic functions and modular functions with some of their number-theoretic applications. Among the major topics treated are Rademacher's convergent series for the partition function, Lehner's congruences for the Fourier coefficients of the modular functionj(r), 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. Both volumes of this work emphasize classical aspects of a subject which in recent years has undergone a great deal of modern development. It is hoped that these volumes will help the nonspecialist become acquainted with an important and fascinating part of mathematics and, at the same time, will provide some of the background that belongs to the repertory of every specialist in the field. This volume, like the first, is dedicated to the students who have taken this course and have gone on to make notable contributions to number theory and other parts of mathematics. T.M.A. January, 1976 * The first volume is in the Springer-Verlag series Undergraduate Texts in Mathematics under the title Introduction to Analytic Number Theory. This is the second volume of a 2-volume textbook* which evolved from a course (Mathematics 160) offered at the California Institute of Technology during the last 25 years. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9781461269786
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Modular Functions and Dirichlet Series in Number Theory
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Modular Functions and Dirichlet Series in Number Theory
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ISBN 10: 1461269784
ISBN 13: 9781461269786
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Modular Functions and Dirichlet Series in Number Theory (Graduate Texts in Mathematics)
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