Author : Valentin Blomer
Publisher : American Mathematical Society
Page : 160 pages
File Size : 36,87 MB
Release : 2023-02-13
Category : Mathematics
ISBN : 1470456788
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Author : Sarvadaman Chowla
Publisher : CRC Press
Page : 144 pages
File Size : 19,24 MB
Release : 1987
Category : Mathematics
ISBN : 9780677001401
Author : Hugh L. Montgomery
Publisher : Cambridge University Press
Page : 574 pages
File Size : 49,29 MB
Release : 2007
Category : Mathematics
ISBN : 9780521849036
A 2006 text based on courses taught successfully over many years at Michigan, Imperial College and Pennsylvania State.
Author : Anatoly A. Karatsuba
Publisher : Walter de Gruyter
Page : 409 pages
File Size : 35,39 MB
Release : 2011-05-03
Category : Mathematics
ISBN : 3110886146
The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany
Author : L. Kuipers
Publisher : Courier Corporation
Page : 416 pages
File Size : 23,93 MB
Release : 2012-05-24
Category : Mathematics
ISBN : 0486149994
The theory of uniform distribution began with Hermann Weyl's celebrated paper of 1916. In later decades, the theory moved beyond its roots in diophantine approximations to provide common ground for topics as diverse as number theory, probability theory, functional analysis, and topological algebra. This book summarizes the theory's development from its beginnings to the mid-1970s, with comprehensive coverage of both methods and their underlying principles. A practical introduction for students of number theory and analysis as well as a reference for researchers in the field, this book covers uniform distribution in compact spaces and in topological groups, in addition to examinations of sequences of integers and polynomials. Notes at the end of each section contain pertinent bibliographical references and a brief survey of additional results. Exercises range from simple applications of theorems to proofs of propositions that expand upon results stated in the text.
Author : Henryk Iwaniec
Publisher : American Mathematical Soc.
Page : 274 pages
File Size : 30,98 MB
Release : 1997
Category : Mathematics
ISBN : 0821807773
This volume discusses various perspectives of the theory of automorphic forms drawn from the author's notes from a Rutgers University graduate course. In addition to detailed and often nonstandard treatment of familiar theoretical topics, the author also gives special attention to such subjects as theta- functions and representatives by quadratic forms. Annotation copyrighted by Book News, Inc., Portland, OR
Author : H. Iwaniec
Publisher : American Mathematical Society
Page : 130 pages
File Size : 18,62 MB
Release : 2014-10-07
Category : Mathematics
ISBN : 1470418517
The Riemann zeta function was introduced by L. Euler (1737) in connection with questions about the distribution of prime numbers. Later, B. Riemann (1859) derived deeper results about the prime numbers by considering the zeta function in the complex variable. The famous Riemann Hypothesis, asserting that all of the non-trivial zeros of zeta are on a critical line in the complex plane, is one of the most important unsolved problems in modern mathematics. The present book consists of two parts. The first part covers classical material about the zeros of the Riemann zeta function with applications to the distribution of prime numbers, including those made by Riemann himself, F. Carlson, and Hardy-Littlewood. The second part gives a complete presentation of Levinson's method for zeros on the critical line, which allows one to prove, in particular, that more than one-third of non-trivial zeros of zeta are on the critical line. This approach and some results concerning integrals of Dirichlet polynomials are new. There are also technical lemmas which can be useful in a broader context.
Author : Roman Vershynin
Publisher : Cambridge University Press
Page : 299 pages
File Size : 19,66 MB
Release : 2018-09-27
Category : Business & Economics
ISBN : 1108415199
An integrated package of powerful probabilistic tools and key applications in modern mathematical data science.
Author : Sergei Konyagin
Publisher : Penguin Group
Page : 182 pages
File Size : 39,63 MB
Release : 1999-09-02
Category : Computers
ISBN : 9780521642637
A treatment of a lively topic from number theory for graduate students and researchers.
Author : Michel Talagrand
Publisher : Springer Science & Business Media
Page : 630 pages
File Size : 14,93 MB
Release : 2014-02-12
Category : Mathematics
ISBN : 3642540759
The book develops modern methods and in particular the "generic chaining" to bound stochastic processes. This methods allows in particular to get optimal bounds for Gaussian and Bernoulli processes. Applications are given to stable processes, infinitely divisible processes, matching theorems, the convergence of random Fourier series, of orthogonal series, and to functional analysis. The complete solution of a number of classical problems is given in complete detail, and an ambitious program for future research is laid out.
