Probability and Number Theory--Kanazawa 2005
Probability and Number Theory--Kanazawa 2005

Author: Shigeki Akiyama

Publisher:

Published: 2007

Total Pages: 586

ISBN-13:

DOWNLOAD EBOOK

This volume is the Proceedings of the international conference on Probability and Number Theory held at Kanazawa, Japan, in June 2005, and includes several survey articles on probabilistic number theory, and research papers on various recent topics around the border area between probability theory and number theory. This volume is useful for all researchers and graduate students who are interested in probability theory and number theory.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America

Number Theory: Plowing And Starring Through High Wave Forms - Proceedings Of The 7th China-japan Seminar
Number Theory: Plowing And Starring Through High Wave Forms - Proceedings Of The 7th China-japan Seminar

Author: Shigeru Kanemitsu

Publisher: World Scientific

Published: 2015-02-10

Total Pages: 212

ISBN-13: 9814644943

DOWNLOAD EBOOK

Based on the successful 7th China-Japan seminar on number theory conducted in Kyushu University, this volume is a compilation of survey and semi-survey type of papers by the participants of the seminar. The topics covered range from traditional analytic number theory to elliptic curves and universality. This volume contains new developments in the field of number theory from recent years and it provides suitable problems for possible new research at a level which is not unattainable. Timely surveys will be beneficial to a new generation of researchers as a source of information and these provide a glimpse at the state-of-the-art affairs in the fields of their research interests.

From Arithmetic to Zeta-Functions
From Arithmetic to Zeta-Functions

Author: Jürgen Sander

Publisher: Springer

Published: 2016-12-29

Total Pages: 552

ISBN-13: 3319282034

DOWNLOAD EBOOK

This book collects more than thirty contributions in memory of Wolfgang Schwarz, most of which were presented at the seventh International Conference on Elementary and Analytic Number Theory (ELAZ), held July 2014 in Hildesheim, Germany. Ranging from the theory of arithmetical functions to diophantine problems, to analytic aspects of zeta-functions, the various research and survey articles cover the broad interests of the well-known number theorist and cherished colleague Wolfgang Schwarz (1934-2013), who contributed over one hundred articles on number theory, its history and related fields. Readers interested in elementary or analytic number theory and related fields will certainly find many fascinating topical results among the contributions from both respected mathematicians and up-and-coming young researchers. In addition, some biographical articles highlight the life and mathematical works of Wolfgang Schwarz.

Analytic Number Theory
Analytic Number Theory

Author: W. W. L. Chen

Publisher: Cambridge University Press

Published: 2009-02-19

Total Pages: 493

ISBN-13: 0521515386

DOWNLOAD EBOOK

A collection of papers inspired by the work of Britain's first Fields Medallist, Klaus Roth.

Value-Distribution of L-Functions
Value-Distribution of L-Functions

Author: Jr̲n Steuding

Publisher: Springer Science & Business Media

Published: 2007-06-06

Total Pages: 320

ISBN-13: 3540265260

DOWNLOAD EBOOK

These notes present recent results in the value-distribution theory of L-functions with emphasis on the phenomenon of universality. Universality has a strong impact on the zero-distribution: Riemann’s hypothesis is true only if the Riemann zeta-function can approximate itself uniformly. The text proves universality for polynomial Euler products. The authors’ approach follows mainly Bagchi's probabilistic method. Discussion touches on related topics: almost periodicity, density estimates, Nevanlinna theory, and functional independence.

Further Progress in Analysis
Further Progress in Analysis

Author: A. Okay Celebi

Publisher: World Scientific

Published: 2009

Total Pages: 877

ISBN-13: 9812837337

DOWNLOAD EBOOK

The ISAAC (International Society for Analysis, its Applications and Computation) Congress, which has been held every second year since 1997, covers the major progress in analysis, applications and computation in recent years. In this proceedings volume, plenary lectures highlight the recent research results, while 17 sessions organized by well-known specialists reflect the state of the art of important subfields. This volume concentrates on partial differential equations, function spaces, operator theory, integral transforms and equations, potential theory, complex analysis and generalizations, inverse problems, functional differential and difference equations and integrable systems.

Digital Nets and Sequences
Digital Nets and Sequences

Author: Josef Dick

Publisher: Cambridge University Press

Published: 2010-09-09

Total Pages: 619

ISBN-13: 1139490052

DOWNLOAD EBOOK

Indispensable for students, invaluable for researchers, this comprehensive treatment of contemporary quasi–Monte Carlo methods, digital nets and sequences, and discrepancy theory starts from scratch with detailed explanations of the basic concepts and then advances to current methods used in research. As deterministic versions of the Monte Carlo method, quasi–Monte Carlo rules have increased in popularity, with many fruitful applications in mathematical practice. These rules require nodes with good uniform distribution properties, and digital nets and sequences in the sense of Niederreiter are known to be excellent candidates. Besides the classical theory, the book contains chapters on reproducing kernel Hilbert spaces and weighted integration, duality theory for digital nets, polynomial lattice rules, the newest constructions by Niederreiter and Xing and many more. The authors present an accessible introduction to the subject based mainly on material taught in undergraduate courses with numerous examples, exercises and illustrations.

Further Progress In Analysis - Proceedings Of The 6th International Isaac Congress
Further Progress In Analysis - Proceedings Of The 6th International Isaac Congress

Author: A Okay Celebi

Publisher: World Scientific

Published: 2009-01-13

Total Pages: 877

ISBN-13: 9814469114

DOWNLOAD EBOOK

The ISAAC (International Society for Analysis, its Applications and Computation) Congress, which has been held every second year since 1997, covers the major progress in analysis, applications and computation in recent years. In this proceedings volume, plenary lectures highlight the recent research results, while 17 sessions organized by well-known specialists reflect the state of the art of important subfields. This volume concentrates on partial differential equations, function spaces, operator theory, integral transforms and equations, potential theory, complex analysis and generalizations, inverse problems, functional differential and difference equations and integrable systems.

Mathematics of Aperiodic Order
Mathematics of Aperiodic Order

Author: Johannes Kellendonk

Publisher: Birkhäuser

Published: 2015-06-05

Total Pages: 438

ISBN-13: 3034809034

DOWNLOAD EBOOK

What is order that is not based on simple repetition, that is, periodicity? How must atoms be arranged in a material so that it diffracts like a quasicrystal? How can we describe aperiodically ordered systems mathematically? Originally triggered by the – later Nobel prize-winning – discovery of quasicrystals, the investigation of aperiodic order has since become a well-established and rapidly evolving field of mathematical research with close ties to a surprising variety of branches of mathematics and physics. This book offers an overview of the state of the art in the field of aperiodic order, presented in carefully selected authoritative surveys. It is intended for non-experts with a general background in mathematics, theoretical physics or computer science, and offers a highly accessible source of first-hand information for all those interested in this rich and exciting field. Topics covered include the mathematical theory of diffraction, the dynamical systems of tilings or Delone sets, their cohomology and non-commutative geometry, the Pisot substitution conjecture, aperiodic Schrödinger operators, and connections to arithmetic number theory.