The Method of Trigonometrical Sums in the Theory of Numbers PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download The Method of Trigonometrical Sums in the Theory of Numbers PDF full book. Access full book title The Method of Trigonometrical Sums in the Theory of Numbers by I. M. Vinogradov. Download full books in PDF and EPUB format.
Author: I. M. Vinogradov Publisher: Courier Corporation ISBN: 0486154521 Category : Mathematics Languages : en Pages : 194
Book Description
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: I. M. Vinogradov Publisher: Courier Corporation ISBN: 0486154521 Category : Mathematics Languages : en Pages : 194
Book Description
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: Gennady I. Arkhipov Publisher: Walter de Gruyter ISBN: 3110197987 Category : Mathematics Languages : en Pages : 565
Book Description
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: Andrei Raigorodskii Publisher: Springer Nature ISBN: 3030379043 Category : Mathematics Languages : en Pages : 313
Book Description
This volume presents in a unified manner both classic as well as modern research results devoted to trigonometric sums. Such sums play an integral role in the formulation and understanding of a broad spectrum of problems which range over surprisingly many and different research areas. Fundamental and new developments are presented to discern solutions to problems across several scientific disciplines. Graduate students and researchers will find within this book numerous examples and a plethora of results related to trigonometric sums through pure and applied research along with open problems and new directions for future research.
Author: Publisher: American Mathematical Soc. ISBN: 9780821830901 Category : Mathematics Languages : en Pages : 340
Book Description
This collection consists of papers delivered at an international conference by the most eminent specialists in the domains of number theory, algebra, and analysis. The papers are devoted to actual problems in these domains of mathematics. In addition, short communications presented by participants in the conference are included.
Author: Wolfgang M. Schmidt Publisher: American Mathematical Soc. ISBN: 9780821816820 Category : Mathematics Languages : en Pages : 50
Book Description
Knowledge about fractional parts of linear polynomials is fairly satisfactory. Knowledge about fractional parts of nonlinear polynomials is not so satisfactory. In these notes the author starts out with Heilbronn's Theorem on quadratic polynomials and branches out in three directions. In Sections 7-12 he deals with arbitrary polynomials with constant term zero. In Sections 13-19 he takes up simultaneous approximation of quadratic polynomials. In Sections 20-21 he discusses special quadratic polynomials in several variables. There are many open questions: in fact, most of the results obtained in these notes ar almost certainly not best possible. Since the theory is not in its final form including the most general situation, i.e. simultaneous fractional parts of polynomials in several variables of arbitary degree. On the other hand, he has given all proofs in full detail and at a leisurely pace. For the first half of this work, only the standard notions of an undergraduate number theory course are required. For the second half, some knowledge of the geometry of numbers is helpful.
Author: Anatoliĭ Alekseevich Karat︠s︡uba Publisher: American Mathematical Soc. ISBN: 9780821804674 Category : Mathematics Languages : en Pages : 366
Book Description
"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: I. M. Vinogradov
Author: I. M. Vinogradov
Author: Gennady I. Arkhipov
Author: Andrei Raigorodskii
Author: Ivan Matveevich Vinogradov
Author: 
Author: Michiel Hazewinkel
Author: Wolfgang M. Schmidt
Author: Anatoliĭ Alekseevich Karat︠s︡uba
Author: 
Author: M. Hazewinkel