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Author : Ivan M. Vinogradov
Publisher : Unknown
Page : 128 pages
File Size : 45,5 Mb
Release : 1900
Category : Electronic
ISBN : OCLC:641366548
Author : I. M. Vinogradov
Publisher : Courier Corporation
Page : 194 pages
File Size : 41,5 Mb
Release : 2013-10-30
Category : Mathematics
ISBN : 9780486154527
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 : Ivan Matveevič Vinogradov (Mathématicien)
Publisher : Unknown
Page : 180 pages
File Size : 51,9 Mb
Release : 1950
Category : Electronic
ISBN : OCLC:610656122
Author : Ivan Matveevich Vinogradov
Publisher : Unknown
Page : 128 pages
File Size : 45,7 Mb
Release : 2024-06-16
Category : Number theory
ISBN : OCLC:844316555
Author : Gennady I. Arkhipov,Vladimir N. Chubarikov,Anatoly A. Karatsuba
Publisher : Walter de Gruyter
Page : 565 pages
File Size : 43,9 Mb
Release : 2008-08-22
Category : Mathematics
ISBN : 9783110197983
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 : Władysław Narkiewicz
Publisher : Springer Science & Business Media
Page : 659 pages
File Size : 47,7 Mb
Release : 2011-09-02
Category : Mathematics
ISBN : 9780857295323
The last one hundred years have seen many important achievements in the classical part of number theory. After the proof of the Prime Number Theorem in 1896, a quick development of analytical tools led to the invention of various new methods, like Brun's sieve method and the circle method of Hardy, Littlewood and Ramanujan; developments in topics such as prime and additive number theory, and the solution of Fermat’s problem. Rational Number Theory in the 20th Century: From PNT to FLT offers a short survey of 20th century developments in classical number theory, documenting between the proof of the Prime Number Theorem and the proof of Fermat's Last Theorem. The focus lays upon the part of number theory that deals with properties of integers and rational numbers. Chapters are divided into five time periods, which are then further divided into subject areas. With the introduction of each new topic, developments are followed through to the present day. This book will appeal to graduate researchers and student in number theory, however the presentation of main results without technicalities will make this accessible to anyone with an interest in the area.
Author : Anatoliĭ Alekseevich Karat︠s︡uba,V. I. Blagodatskikh
Publisher : American Mathematical Soc.
Page : 366 pages
File Size : 53,6 Mb
Release : 1995
Category : Mathematics
ISBN : 0821804677
"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 Matveevich Vinogradov
Publisher : American Mathematical Soc.
Page : 284 pages
File Size : 55,8 Mb
Release : 1986
Category : Algebra
ISBN : 0821830961
Collection of papers on the current research in algebra, mathematical logic, number theory and topology.
Author : Hugh L. Montgomery
Publisher : American Mathematical Soc.
Page : 220 pages
File Size : 44,6 Mb
Release : 1994
Category : Education
ISBN : 9781470424442
This book contains lectures presented by Hugh L. Montgomery at the NSF-CBMS Regional Conference held at Kansas State University in May 1990. The book focuses on important topics in analytic number theory that involve ideas from harmonic analysis. One valuable aspect of the book is that it collects material that was either unpublished or that had appeared only in the research literature. This book would be an excellent resource for harmonic analysts interested in moving into research in analytic number theory. In addition, it is suitable as a textbook in an advanced graduate topics course in nu.
Author : M. Hazewinkel
Publisher : Springer
Page : 927 pages
File Size : 42,7 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9781489937971
Author : Michiel Hazewinkel
Publisher : Springer Science & Business Media
Page : 517 pages
File Size : 40,9 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9789400960008
This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathematics. It is a translation with updates and editorial comments of the Soviet Mathematical En cyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977 - 1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivision has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathe matics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, engineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.
Author : Gennadiĭ Ivanovich Arkhipov,Anatoliĭ Alekseevich Karat︠s︡uba,Vladimir Nikolaevich Chubarikov
Publisher : American Mathematical Soc.
Page : 138 pages
File Size : 45,5 Mb
Release : 1982
Category : Mathematics
ISBN : 0821830678
Proceedings of the Steklov Institute of Mathematics is a cover-to-cover translation of the Trudy Matematicheskogo Instituta imeni V.A. Steklova of the Russian Academy of Sciences. Each issue ordinarily contains either one book-length article or a collection of articles pertaining to the same topic
Author : A. D. Aleksandrov,A. N. Kolmogorov,M. A. Lavrent’ev
Publisher : Courier Corporation
Page : 1120 pages
File Size : 52,6 Mb
Release : 2012-05-07
Category : Mathematics
ISBN : 9780486157870
Major survey offers comprehensive, coherent discussions of analytic geometry, algebra, differential equations, calculus of variations, functions of a complex variable, prime numbers, linear and non-Euclidean geometry, topology, functional analysis, more. 1963 edition.
Author : Ivan Matveevich Vinogradov
Publisher : American Mathematical Soc.
Page : 308 pages
File Size : 47,5 Mb
Release : 1975
Category : Mathematics
ISBN : 0821830325
Papers and articles about number theory.
Author : Dimitris Koukoulopoulos
Publisher : American Mathematical Soc.
Page : 356 pages
File Size : 42,8 Mb
Release : 2020-07-28
Category : Education
ISBN : 9781470462857
Prime numbers have fascinated mathematicians since the time of Euclid. This book presents some of our best tools to capture the properties of these fundamental objects, beginning with the most basic notions of asymptotic estimates and arriving at the forefront of mathematical research. Detailed proofs of the recent spectacular advances on small and large gaps between primes are made accessible for the first time in textbook form. Some other highlights include an introduction to probabilistic methods, a detailed study of sieves, and elements of the theory of pretentious multiplicative functions leading to a proof of Linnik's theorem. Throughout, the emphasis has been placed on explaining the main ideas rather than the most general results available. As a result, several methods are presented in terms of concrete examples that simplify technical details, and theorems are stated in a form that facilitates the understanding of their proof at the cost of sacrificing some generality. Each chapter concludes with numerous exercises of various levels of difficulty aimed to exemplify the material, as well as to expose the readers to more advanced topics and point them to further reading sources.
