Number Theory Diophantine Problems Uniform Distribution And Applications
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| Author | : Christian Elsholtz |
| Publisher | : Springer |
| Total Pages | : 447 |
| Release | : 2017-05-26 |
| Genre | : Mathematics |
| ISBN | : 3319553577 |
This volume is dedicated to Robert F. Tichy on the occasion of his 60th birthday. Presenting 22 research and survey papers written by leading experts in their respective fields, it focuses on areas that align with Tichy’s research interests and which he significantly shaped, including Diophantine problems, asymptotic counting, uniform distribution and discrepancy of sequences (in theory and application), dynamical systems, prime numbers, and actuarial mathematics. Offering valuable insights into recent developments in these areas, the book will be of interest to researchers and graduate students engaged in number theory and its applications.
| Author | : Jan-Hendrik Evertse |
| Publisher | : Cambridge University Press |
| Total Pages | : 241 |
| Release | : 2022-04-28 |
| Genre | : Mathematics |
| ISBN | : 1009005855 |
Provides exceptional coverage of effective solutions for Diophantine equations over finitely generated domains.
| Author | : István Gaál |
| Publisher | : Springer Nature |
| Total Pages | : 335 |
| Release | : 2019-09-03 |
| Genre | : Mathematics |
| ISBN | : 3030238652 |
Work examines the latest algorithms and tools to solve classical types of diophantine equations.; Unique book---closest competitor, Smart, Cambridge, does not treat index form equations.; Author is a leading researcher in the field of computational algebraic number theory.; The text is illustrated with several tables of various number fields, including their data on power integral bases.; Several interesting properties of number fields are examined.; Some infinite parametric families of fields are also considered as well as the resolution of the corresponding infinite parametric families of diophantine equations.
| Author | : Helge Holden |
| Publisher | : Springer |
| Total Pages | : 762 |
| Release | : 2019-02-23 |
| Genre | : Mathematics |
| ISBN | : 3319990284 |
The book presents the winners of the Abel Prize in mathematics for the period 2013–17: Pierre Deligne (2013); Yakov G. Sinai (2014); John Nash Jr. and Louis Nirenberg (2015); Sir Andrew Wiles (2016); and Yves Meyer (2017). The profiles feature autobiographical information as well as a scholarly description of each mathematician’s work. In addition, each profile contains a Curriculum Vitae, a complete bibliography, and the full citation from the prize committee. The book also includes photos for the period 2003–2017 showing many of the additional activities connected with the Abel Prize. As an added feature, video interviews with the Laureates as well as videos from the prize ceremony are provided at an accompanying website (http://extras.springer.com/). This book follows on The Abel Prize: 2003-2007. The First Five Years (Springer, 2010) and The Abel Prize 2008-2012 (Springer 2014), which profile the work of the previous Abel Prize winners.
| Author | : Sirakov Boyan |
| Publisher | : World Scientific |
| Total Pages | : 5396 |
| Release | : 2019-02-27 |
| Genre | : Mathematics |
| ISBN | : 9813272899 |
The Proceedings of the ICM publishes the talks, by invited speakers, at the conference organized by the International Mathematical Union every 4 years. It covers several areas of Mathematics and it includes the Fields Medal and Nevanlinna, Gauss and Leelavati Prizes and the Chern Medal laudatios.
| Author | : Dennis A. Hejhal |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 693 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461215447 |
Most people tend to view number theory as the very paradigm of pure mathematics. With the advent of computers, however, number theory has been finding an increasing number of applications in practical settings, such as in cryptography, random number generation, coding theory, and even concert hall acoustics. Yet other applications are still emerging - providing number theorists with some major new areas of opportunity. The 1996 IMA summer program on Emerging Applications of Number Theory was aimed at stimulating further work with some of these newest (and most attractive) applications. Concentration was on number theory's recent links with: (a) wave phenomena in quantum mechanics (more specifically, quantum chaos); and (b) graph theory (especially expander graphs and related spectral theory). This volume contains the contributed papers from that meeting and will be of interest to anyone intrigued by novel applications of modern number-theoretical techniques.
| Author | : Dmitriy Bilyk |
| Publisher | : Walter de Gruyter GmbH & Co KG |
| Total Pages | : 225 |
| Release | : 2020-01-20 |
| Genre | : Mathematics |
| ISBN | : 3110652587 |
The contributions in this book focus on a variety of topics related to discrepancy theory, comprising Fourier techniques to analyze discrepancy, low discrepancy point sets for quasi-Monte Carlo integration, probabilistic discrepancy bounds, dispersion of point sets, pair correlation of sequences, integer points in convex bodies, discrepancy with respect to geometric shapes other than rectangular boxes, and also open problems in discrepany theory.
| Author | : Sébastien Ferenczi |
| Publisher | : Springer |
| Total Pages | : 434 |
| Release | : 2018-06-15 |
| Genre | : Mathematics |
| ISBN | : 3319749080 |
This book concentrates on the modern theory of dynamical systems and its interactions with number theory and combinatorics. The greater part begins with a course in analytic number theory and focuses on its links with ergodic theory, presenting an exhaustive account of recent research on Sarnak's conjecture on Möbius disjointness. Selected topics involving more traditional connections between number theory and dynamics are also presented, including equidistribution, homogenous dynamics, and Lagrange and Markov spectra. In addition, some dynamical and number theoretical aspects of aperiodic order, some algebraic systems, and a recent development concerning tame systems are described.
| Author | : Michael Drmota |
| Publisher | : Springer |
| Total Pages | : 517 |
| Release | : 2006-11-14 |
| Genre | : Mathematics |
| ISBN | : 354068333X |
The main purpose of this book is to give an overview of the developments during the last 20 years in the theory of uniformly distributed sequences. The authors focus on various aspects such as special sequences, metric theory, geometric concepts of discrepancy, irregularities of distribution, continuous uniform distribution and uniform distribution in discrete spaces. Specific applications are presented in detail: numerical integration, spherical designs, random number generation and mathematical finance. Furthermore over 1000 references are collected and discussed. While written in the style of a research monograph, the book is readable with basic knowledge in analysis, number theory and measure theory.
| Author | : S.D. Adhikari |
| Publisher | : Springer |
| Total Pages | : 285 |
| Release | : 2009-06-15 |
| Genre | : Mathematics |
| ISBN | : 9386279460 |
This collection of articles contains the proceedings of the two international conferences (on Number Theory and Cryptography) held at the Harish - Chandra Research Institute. In recent years the interest in number theory has increased due to its applications in areas like error-correcting codes and cryptography. These proceedings contain papers in various areas of number theory, such as combinatorial, algebraic, analytic and transcendental aspects, arithmetic algebraic geometry, as well as graph theory and cryptography. While some papers do contain new results, several of the papers are expository articles that mention open questions, which will be useful to young researchers.
