Author: Gennadiĭ Ivanovich Arkhipov
Publisher: Walter de Gruyter
ISBN: 3110162660
Category : Mathematics
Languages : en
Pages : 564
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Book Description
Review text: "The book is written very carefully and contains at the beginning of each chapter an introduction which is very well readable. It will certainly replace the former monographies on this theme."J. Schoissengeier in: Monatshefte für Mathematik 1/2006 "The book will be useful for a wide range of mathematicians."EMS newsletter 9/2005.
Author: Gennady I. Arkhipov
Publisher: Walter de Gruyter
ISBN: 3110197987
Category : Mathematics
Languages : en
Pages : 565
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Book Description
The book presents the theory of multiple trigonometric sums constructed by the authors. Following a unified approach, the authors obtain estimates for these sums similar to the classical I. M. Vinogradov ́s estimates and use them to solve several problems in analytic number theory. They investigate trigonometric integrals, which are often encountered in physics, mathematical statistics, and analysis, and in addition they present purely arithmetic results concerning the solvability of equations in integers.
Author: Anatoliĭ Alekseevich Karat︠s︡uba
Publisher: American Mathematical Soc.
ISBN: 9780821804674
Category : Mathematics
Languages : en
Pages : 366
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Book Description
"This collection consists of papers ... devoted to current trends in analytic number theory, function theory, algebraic number theory, algebraic geometry, and combinatorics" -- t.p. verso.
Author: Ivan Matveevič Vinogradov (Mathematiker)
Publisher: American Mathematical Soc.
ISBN: 9780821831502
Category : Mathematics
Languages : en
Pages : 390
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Book Description
This work is dedicated to the 100th anniversary of the birth of I. M. Vinogradov. It contains papers ranging over various areas of mathematics: including number theory; algebra; theory of functions of a real variable and of a complex variable; ordinary differential equations; optimal control; partial differential equations; mathematical physics; mechanics, and probability.
Author: I. M. Vinogradov
Publisher: Courier Corporation
ISBN: 0486154521
Category : Mathematics
Languages : en
Pages : 194
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Book Description
This text investigates Waring's problem, approximation by fractional parts of the values of a polynomial, estimates for Weyl sums, distribution of fractional parts of polynomial values, Goldbach's problem, more. 1954 edition.
Author: János Pintz
Publisher: Walter de Gruyter
ISBN: 3110282429
Category : Mathematics
Languages : en
Pages : 418
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Book Description
Paul Turán, one of the greatest Hungarian mathematicians, was born 100 years ago, on August 18, 1910. To celebrate this occasion the Hungarian Academy of Sciences, the Alfréd Rényi Institute of Mathematics, the János Bolyai Mathematical Society and the Mathematical Institute of Eötvös Loránd University organized an international conference devoted to Paul Turán's main areas of interest: number theory, selected branches of analysis, and selected branches of combinatorics. The conference was held in Budapest, August 22-26, 2011. Some of the invited lectures reviewed different aspects of Paul Turán's work and influence. Most of the lectures allowed participants to report about their own work in the above mentioned areas of mathematics.
Author: Andrei Raigorodskii
Publisher: Springer Nature
ISBN: 3030379043
Category : Mathematics
Languages : en
Pages : 313
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Book Description
This volume presents in a unified manner both classic as well as modern research results devoted to trigonometric sums. Such sums play an integral role in the formulation and understanding of a broad spectrum of problems which range over surprisingly many and different research areas. Fundamental and new developments are presented to discern solutions to problems across several scientific disciplines. Graduate students and researchers will find within this book numerous examples and a plethora of results related to trigonometric sums through pure and applied research along with open problems and new directions for future research.
Author:
Publisher: American Mathematical Soc.
ISBN: 9780821830901
Category : Mathematics
Languages : en
Pages : 340
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Book Description
This collection consists of papers delivered at an international conference by the most eminent specialists in the domains of number theory, algebra, and analysis. The papers are devoted to actual problems in these domains of mathematics. In addition, short communications presented by participants in the conference are included.
Author: Carl Pomerance
Publisher: Springer
ISBN: 3319222406
Category : Mathematics
Languages : en
Pages : 378
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Book Description
This volume contains a collection of research and survey papers written by some of the most eminent mathematicians in the international community and is dedicated to Helmut Maier, whose own research has been groundbreaking and deeply influential to the field. Specific emphasis is given to topics regarding exponential and trigonometric sums and their behavior in short intervals, anatomy of integers and cyclotomic polynomials, small gaps in sequences of sifted prime numbers, oscillation theorems for primes in arithmetic progressions, inequalities related to the distribution of primes in short intervals, the Möbius function, Euler’s totient function, the Riemann zeta function and the Riemann Hypothesis. Graduate students, research mathematicians, as well as computer scientists and engineers who are interested in pure and interdisciplinary research, will find this volume a useful resource. Contributors to this volume: Bill Allombert, Levent Alpoge, Nadine Amersi, Yuri Bilu, Régis de la Bretèche, Christian Elsholtz, John B. Friedlander, Kevin Ford, Daniel A. Goldston, Steven M. Gonek, Andrew Granville, Adam J. Harper, Glyn Harman, D. R. Heath-Brown, Aleksandar Ivić, Geoffrey Iyer, Jerzy Kaczorowski, Daniel M. Kane, Sergei Konyagin, Dimitris Koukoulopoulos, Michel L. Lapidus, Oleg Lazarev, Andrew H. Ledoan, Robert J. Lemke Oliver, Florian Luca, James Maynard, Steven J. Miller, Hugh L. Montgomery, Melvyn B. Nathanson, Ashkan Nikeghbali, Alberto Perelli, Amalia Pizarro-Madariaga, János Pintz, Paul Pollack, Carl Pomerance, Michael Th. Rassias, Maksym Radziwiłł, Joël Rivat, András Sárközy, Jeffrey Shallit, Terence Tao, Gérald Tenenbaum, László Tóth, Tamar Ziegler, Liyang Zhang.
Author: Nikolaĭ Nikolaevich Bogoli︠u︡bov
Publisher: American Mathematical Soc.
ISBN: 9780821830772
Category : Mathematics
Languages : en
Pages : 262
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Book Description
Contains original papers on various branches of mathematics: analytic number theory, algebra, partial differential equations, probability theory, and differential games.
