Published by MU - University of Texas Press, 1985
ISBN 10: 0292741030 ISBN 13: 9780292741034
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Published by University of Texas Press, 1985
ISBN 10: 0292741030 ISBN 13: 9780292741034
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Published by University of Texas Press, 1985
ISBN 10: 0292741030 ISBN 13: 9780292741034
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Published by University of Texas Press, 1985
ISBN 10: 0292741030 ISBN 13: 9780292741034
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Published by University of Texas Press, 1985
ISBN 10: 0292741030 ISBN 13: 9780292741034
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Add to basketPaperback or Softback. Condition: New. Topics in Analytic Number Theory 0.59. Book.
Published by University of Texas Press, 1985
ISBN 10: 0292741030 ISBN 13: 9780292741034
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Published by Literary Licensing, LLC, 2013
ISBN 10: 1258649543 ISBN 13: 9781258649548
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Add to basketHardback or Cased Book. Condition: New. Topics in Analytic Number Theory 1.2. Book.
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Published by University of Texas Press 6/1/1985, 1985
ISBN 10: 0292741030 ISBN 13: 9780292741034
Language: English
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Add to basketPaperback or Softback. Condition: New. Topics in Analytic Number Theory 1.05. Book.
Published by University of Texas Press, 1985
ISBN 10: 0292741030 ISBN 13: 9780292741034
Language: English
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Published by University of Texas Press, 1985
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Published by University of Texas Press, 1985
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Published by LAP LAMBERT Academic Publishing Jul 2011, 2011
ISBN 10: 3845419806 ISBN 13: 9783845419800
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Add to basketTaschenbuch. Condition: Neu. Neuware -One can describe Analytic Number Theory informally as being the elegant subject where ideas and concepts from real and complex analysis are applied to number-theoretic problems. This book is an overview of some important results in Analytic Number Theory. Topics include Dirichlet L-series, their analytic continuations and functional equations, including relevant supporting material on characters, Gamma functions and the Riemann Zeta-Function. We also examine Dirichlet's Theorem, giving the existence of infinitely many prime numbers congruent to a given 'a modulo b' when 'a' and 'b' are coprime, the Prime Number Theorem for arithmetic progressions and the Poisson Summation Formula. We then discuss how these ideas can be applied to the theory of the so-called Negative Pell Equation, which is an interesting and unlikely application.Books on Demand GmbH, Überseering 33, 22297 Hamburg 140 pp. Englisch.
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Published by University of Texas Press, 1985
ISBN 10: 0292741030 ISBN 13: 9780292741034
Language: English
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Published by Springer Berlin Heidelberg, 2011
ISBN 10: 3642806171 ISBN 13: 9783642806179
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Add to basketTaschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - At the time of Professor Rademacher's death early in 1969, there was available a complete manuscript of the present work. The editors had only to supply a few bibliographical references and to correct a few misprints and errors. No substantive changes were made in the manu script except in one or two places where references to additional material appeared; since this material was not found in Rademacher's papers, these references were deleted. The editors are grateful to Springer-Verlag for their helpfulness and courtesy. Rademacher started work on the present volume no later than 1944; he was still working on it at the inception of his final illness. It represents the parts of analytic number theory that were of greatest interest to him. The editors, his students, offer this work as homage to the memory of a great man to whom they, in common with all number theorists, owe a deep and lasting debt. E. Grosswald Temple University, Philadelphia, PA 19122, U.S.A. J. Lehner University of Pittsburgh, Pittsburgh, PA 15213 and National Bureau of Standards, Washington, DC 20234, U.S.A. M. Newman National Bureau of Standards, Washington, DC 20234, U.S.A. Contents I. Analytic tools Chapter 1. Bernoulli polynomials and Bernoulli numbers . . 1 1. The binomial coefficients . . 1 2. The Bernoulli polynomials . . 4 3. Zeros of the Bernoulli polynomials . . 7 4. The Bernoulli numbers . . 9 5. The von Staudt-Clausen theorem . . 10 6. A multiplication formula for the Bernoulli polynomials . .
Published by Springer Berlin Heidelberg, Springer Berlin Heidelberg Dez 2011, 2011
ISBN 10: 3642806171 ISBN 13: 9783642806179
Language: English
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Add to basketTaschenbuch. Condition: Neu. Neuware -At the time of Professor Rademacher's death early in 1969, there was available a complete manuscript of the present work. The editors had only to supply a few bibliographical references and to correct a few misprints and errors. No substantive changes were made in the manu script except in one or two places where references to additional material appeared; since this material was not found in Rademacher's papers, these references were deleted. The editors are grateful to Springer-Verlag for their helpfulness and courtesy. Rademacher started work on the present volume no later than 1944; he was still working on it at the inception of his final illness. It represents the parts of analytic number theory that were of greatest interest to him. The editors, his students, offer this work as homage to the memory of a great man to whom they, in common with all number theorists, owe a deep and lasting debt. E. Grosswald Temple University, Philadelphia, PA 19122, U.S.A. J. Lehner University of Pittsburgh, Pittsburgh, PA 15213 and National Bureau of Standards, Washington, DC 20234, U.S.A. M. Newman National Bureau of Standards, Washington, DC 20234, U.S.A. Contents I. Analytic tools Chapter 1. Bernoulli polynomials and Bernoulli numbers . . 1 1. The binomial coefficients . . 1 2. The Bernoulli polynomials . . 4 3. Zeros of the Bernoulli polynomials . . 7 4. The Bernoulli numbers . . 9 5. The von Staudt-Clausen theorem . . 10 6. A multiplication formula for the Bernoulli polynomials . .Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 336 pp. Englisch.
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