Surveys In Number Theory
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Surveys In Number Theory
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Author : Bruce Berndt
language : en
Publisher: CRC Press
Release Date : 2002-11-20
Surveys In Number Theory written by Bruce Berndt and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-11-20 with Mathematics categories.
This volume, based on fourteen papers from the Millennial Conference on Number Theory, represents surveys of topics in number theory and provides an outlook into the future of number theory research. It serves as an inspiration to graduate students and as a reference for research mathematicians.
Surveys In Number Theory
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Author : Krishnaswami Alladi
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-03-02
Surveys In Number Theory written by Krishnaswami Alladi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-03-02 with Mathematics categories.
Number theory has a wealth of long-standing problems, the study of which over the years has led to major developments in many areas of mathematics. This volume consists of seven significant chapters on number theory and related topics. Written by distinguished mathematicians, key topics focus on multipartitions, congruences and identities (G. Andrews), the formulas of Koshliakov and Guinand in Ramanujan's Lost Notebook (B. C. Berndt, Y. Lee, and J. Sohn), alternating sign matrices and the Weyl character formulas (D. M. Bressoud), theta functions in complex analysis (H. M. Farkas), representation functions in additive number theory (M. B. Nathanson), and mock theta functions, ranks, and Maass forms (K. Ono), and elliptic functions (M. Waldschmidt).
Surveys In Number Theory
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Author : Krishnaswami Alladi
language : en
Publisher:
Release Date : 2008
Surveys In Number Theory written by Krishnaswami Alladi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with categories.
Surveys In Geometry And Number Theory
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Author : Nicholas Young
language : en
Publisher: Cambridge University Press
Release Date : 2007-01-18
Surveys In Geometry And Number Theory written by Nicholas Young and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-18 with Mathematics categories.
A collection of survey articles by leading young researchers, showcasing the vitality of Russian mathematics.
A Survey On Smarandache Notions In Number Theory I Smarandache Function
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Author : Huaning Liu
language : en
Publisher: Infinite Study
Release Date :
A Survey On Smarandache Notions In Number Theory I Smarandache Function written by Huaning Liu and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
In this paper we give a survey on recent results on Smarandache function.
Number Theory And Its Applications
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Author : Cheon Seoung Ryoo
language : en
Publisher: BoD – Books on Demand
Release Date : 2020-11-04
Number Theory And Its Applications written by Cheon Seoung Ryoo and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-04 with Mathematics categories.
Number theory and its applications are well known for their proven properties and excellent applicability in interdisciplinary fields of science. Until now, research on number theory and its applications has been done in mathematics, applied mathematics, and the sciences. In particular, number theory plays a fundamental and important role in mathematics and applied mathematics. This book is based on recent results in all areas related to number theory and its applications.
Number Theory Analysis And Combinatorics
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Author : János Pintz
language : en
Publisher: Walter de Gruyter
Release Date : 2013-12-12
Number Theory Analysis And Combinatorics written by János Pintz and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-12 with Mathematics categories.
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.
Analytic And Combinatorial Number Theory The Legacy Of Ramanujan Contributions In Honor Of Bruce C Berndt
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Author : George E Andrews
language : en
Publisher: World Scientific
Release Date : 2024-08-19
Analytic And Combinatorial Number Theory The Legacy Of Ramanujan Contributions In Honor Of Bruce C Berndt written by George E Andrews and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-19 with Mathematics categories.
This volume reflects the contributions stemming from the conference Analytic and Combinatorial Number Theory: The Legacy of Ramanujan which took place at the University of Illinois at Urbana-Champaign on June 6-9, 2019. The conference included 26 plenary talks, 71 contributed talks, and 170 participants. As was the case for the conference, this book is in honor of Bruce C Berndt and in celebration of his mathematics and his 80th birthday.Along with a number of papers previously appearing in Special Issues of the International Journal of Number Theory, the book collects together a few more papers, a biography of Bruce by Atul Dixit and Ae Ja Yee, a preface by George Andrews, a gallery of photos from the conference, a number of speeches from the conference banquet, the conference poster, a list of Bruce's publications at the time this volume was created, and a list of the talks from the conference.
Appalachian Set Theory
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Author : James Cummings
language : en
Publisher: Cambridge University Press
Release Date : 2012-11-15
Appalachian Set Theory written by James Cummings and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-15 with Mathematics categories.
Papers based on a series of workshops where prominent researchers present exciting developments in set theory to a broad audience.
The Ultimate Challenge
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Author : Jeffrey C. Lagarias
language : en
Publisher: American Mathematical Society
Release Date : 2023-04-19
The Ultimate Challenge written by Jeffrey C. Lagarias and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-19 with Mathematics categories.
The $3x+1$ problem, or Collatz problem, concerns the following seemingly innocent arithmetic procedure applied to integers: If an integer $x$ is odd then “multiply by three and add one”, while if it is even then “divide by two”. The $3x+1$ problem asks whether, starting from any positive integer, repeating this procedure over and over will eventually reach the number 1. Despite its simple appearance, this problem is unsolved. Generalizations of the problem are known to be undecidable, and the problem itself is believed to be extraordinarily difficult. This book reports on what is known on this problem. It consists of a collection of papers, which can be read independently of each other. The book begins with two introductory papers, one giving an overview and current status, and the second giving history and basic results on the problem. These are followed by three survey papers on the problem, relating it to number theory and dynamical systems, to Markov chains and ergodic theory, and to logic and the theory of computation. The next paper presents results on probabilistic models for behavior of the iteration. This is followed by a paper giving the latest computational results on the problem, which verify its truth for $x < 5.4 cdot 10^{18}$. The book also reprints six early papers on the problem and related questions, by L. Collatz, J. H. Conway, H. S. M. Coxeter, C. J. Everett, and R. K. Guy, each with editorial commentary. The book concludes with an annotated bibliography of work on the problem up to the year 2000.