Articles liés à Topics in Analytic Number Theory

9783540054474: Topics in Analytic Number Theory
Couverture rigide
ISBN 10 : 3540054472 ISBN 13 : 9783540054474
Editeur : Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1973

Synopsis

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 ...

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Éditeur
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Date d'édition
1973
Langue
anglais
ISBN 10 
3540054472
ISBN 13 
9783540054474
Reliure
Relié
Nombre de pages
332
Coordonnées du fabricant
non disponible
Personne responsable
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