analytic number theory proceedings (30 Ergebnisse)

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Gr.-8°, OPb. 558 S., Ill. Progress in mathematics (PM); 85. - Einband leicht berieben; Kopfschnitt angestaubt; ansonsten wohlerhalten. ISBN: 3764334819 Sprache: Englisch Gewicht in Gramm: 1100.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - A conference on Analytic Number Theory and Diophantine Problems was held from June 24 to July 3, 1984 at the Oklahoma State University in Stillwater. The conference was funded by the National Science Foundation, the College of Arts and Sciences and the Department of Mathematics at Oklahoma State University. The papers in this volume represent only a portion of the many talks given at the conference. The principal speakers were Professors E. Bombieri, P. X. Gallagher, D. Goldfeld, S. Graham, R. Greenberg, H. Halberstam, C. Hooley, H. Iwaniec, D. J. Lewis, D. W. Masser, H. L. Montgomery, A. Selberg, and R. C. Vaughan. Of these, Professors Bombieri, Goldfeld, Masser, and Vaughan gave three lectures each, while Professor Hooley gave two. Special sessions were also held and most participants gave talks of at least twenty minutes each. Prof. P. Sarnak was unable to attend but a paper based on his intended talk is included in this volume. We take this opportunity to thank all participants for their (enthusiastic) support for the conference. Judging from the response, it was deemed a success. As for this volume, I take responsibility for any typographical errors that may occur in the final print. I also apologize for the delay (which was due to the many problems incurred while retyping all the papers). A. special thanks to Dollee Walker for retyping the papers and to Prof. W. H. Jaco for his support, encouragement and hard work in bringing the idea of the conference to fruition.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - On April 25-27, 1989, over a hundred mathematicians, including eleven from abroad, gathered at the University of Illinois Conference Center at Allerton Park for a major conference on analytic number theory. The occa sion marked the seventieth birthday and impending (official) retirement of Paul T. Bateman, a prominent number theorist and member of the mathe matics faculty at the University of Illinois for almost forty years. For fifteen of these years, he served as head of the mathematics department. The conference featured a total of fifty-four talks, including ten in vited lectures by H. Delange, P. Erdos, H. Iwaniec, M. Knopp, M. Mendes France, H. L. Montgomery, C. Pomerance, W. Schmidt, H. Stark, and R. C. Vaughan. This volume represents the contents of thirty of these talks as well as two further contributions. The papers span a wide range of topics in number theory, with a majority in analytic number theory.

Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Frontmatter -- CONTENTS -- FOREWORD -- PREFACE -- I. DIOPHANTINE APPROXIMATIONS AND TRANSCENDENTAL NUMBER THEORY -- Polynomials of Minimal Diophantic Relative Deviation from Zero on the Interval [0,1] -- A Theorem of Gelfond via Schneider's Method -- An Estimation of the Difference Between Two Zeros of a Polynomial -- On the Arithmetic Properties of the Values of E-Functions -- Approximation of Irrationals by m/n, Satisfying f (m/n)=a -- II. FORMS AND CONGRUENCES -- Discriminants of Decomposable Forms -- On Some Entire Modular Forms of Half Integral Weight on the Group o(4N) -- On Solutions of Linear Congruences -- III. METRIC NUMBER THEORY -- The Method of Trigonometric Sums and Lower Estimates of Hausdorff Dimension -- The Optimal Zone for Large Deviations of the Denominators of Continued Fractions -- Ergodic Properties of Multi-Dimensional Subtractive Algorithms -- IV. MULTIPLICATIVE NUMBER THEORY -- Selberg's Inequality in Arithmetic Progressions -- Smoothing and Inversion Inequalities -- The Mean Values of Multiplicative Functions Defined on a Semigroup -- Semigroup Elements Free of Large Prime Factors -- On Multiplicative Functions with Regularity Properties -- On an Analytic Problem Considered by Sierpiriski and Ramanujan -- Distribution of Prime Vectors in Integral Lattices -- Multiplicative Functions of Special Type in Short Intervals -- V. DISTRIBUTION OF ADDITIVE FUNCTIONS -- Smoothness of the Distributions of Arithmetic Functions -- On the Erdos-Wintner Theorem in Banach Spaces -- Additive Arithmetic Functions and Processes with Independent Increments -- On the Modulus of Continuity of the Distribution of Some Arithmetical Functions -- Topics on Arithmetic Functions with Rational Arguments -- Measure Theory and Arithmetical Functions -- Generalizations of Kubilius' Class of Additive Functions. I -- The Multi-Dimensional Local Theorem for Additive Arithmetic Functions -- The von Mises Theorem in Number Theory -- The Law of Large Numbers in the Case of Shifted Primes -- VI. ZETA-FUNCTIONS AND ALGEBRAIC NUMBER THEORY -- On Some Formulae in Analytic Number Theory. II -- The Atkinson Formula Near the Critical Line -- Large Value Estimates for Hecke Polynomials -- VII. COMPUTATIONAL NUMBER THEORY AND APPLICATIONS TO NUMERIC ANALYSIS -- On Normal Bases of Algebraic Number Fields -- Number Theory and Number Crunching -- List of Contributors.

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