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Author : Goldstein
Publisher : Springer Science & Business Media
ISBN 13 : 1461234603
Total Pages : 349 pages
Book Rating : 4.4/5 (612 download)
Download or read book Séminaire de Théorie des Nombres, Paris 1987-88 written by Goldstein and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sinnou David
Publisher : Springer Science & Business Media
ISBN 13 : 9780817636845
Total Pages : 306 pages
Book Rating : 4.6/5 (368 download)
Download or read book Séminaire de Théorie Des Nombres written by Sinnou David and published by Springer Science & Business Media. This book was released on 1993 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on the lectures given at the Seminaire de Theorie des Nombres de Paris in 1990-1991, this collection of papers reflects work in many areas of number theory, including: cubic exponential sums; Riemann's period relations; and Galois representations attached to points on Shimura varieties.
Author : D. Sinnou
Publisher : Springer Science & Business Media
ISBN 13 : 9780817636227
Total Pages : 288 pages
Book Rating : 4.6/5 (362 download)
Download or read book Séminaire de Théorie Des Nombres written by D. Sinnou and published by Springer Science & Business Media. This book was released on 1992 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Le travail ci-dessous developpe sur quelques points les tex:tes fondamentaux de C.L. Siegel [13[ et de K. Ramachandra [2). Remerclements C'est au Max Planck Institut de Bonn que la plus grande part des resultats (th. 2 et 3, ex:ception faite du point 3 d et th. 4 et 5) ont ete soit rectiges soit con~s. La rectaction definitive de ce travail a eu lieu ä l'Institut Fourier de Grenoble durant l'hiver 1990. Le th. 1 tel qu'il apparait ici, et le corollaire du th. 6 cf. identite (13), sont nouveaux. On trouvera une rectaction detailleedes th. 2 et 3 dans [51 et, parmi d'autres resultats, des th. 4, 5 et 6 dans [7). Que tous mes collegues et les deux equipes de secretartat recoivent ici mes remerciements les plus chaleureux. 2 1) On pose e( x) = e 1rix, x E C. Pour L un reseau complex:e, on note une base positivement olientee de L = lw + lw c'est-ä-dire teile que 1 2 On definit alors une forme modulaire .,.p> de poids 1 par 1](2)(w) ~fn (21l"i)ql/12 IJ ( - qn)2 1 { w2 n>l 1 12 q = e(W) , q 1 = e(W/12) , W = wt!w2 .
Author : Catherine Goldstein
Publisher :
ISBN 13 :
Total Pages : 368 pages
Book Rating : 4.3/5 (91 download)
Download or read book Séminaire de Théorie Des Nombres, Paris 1987-88 written by Catherine Goldstein and published by . This book was released on 1990 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Catherine Goldstein
Publisher :
ISBN 13 :
Total Pages : 272 pages
Book Rating : 4.4/5 (91 download)
Download or read book Séminaire de Théorie Des Nombres, Paris 1988-89 written by Catherine Goldstein and published by . This book was released on 1990 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sinnou David
Publisher :
ISBN 13 :
Total Pages : 288 pages
Book Rating : 4.3/5 (91 download)
Download or read book Séminaire de Théorie Des Nombres, Paris, 1989-90 written by Sinnou David and published by . This book was released on 1992 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ralph McKenzie
Publisher : Springer Science & Business Media
ISBN 13 : 1461245524
Total Pages : 209 pages
Book Rating : 4.4/5 (612 download)
Download or read book Structure of Decidable Locally Finite Varieties written by Ralph McKenzie and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: A mathematically precise definition of the intuitive notion of "algorithm" was implicit in Kurt Godel's [1931] paper on formally undecidable propo sitions of arithmetic. During the 1930s, in the work of such mathemati cians as Alonzo Church, Stephen Kleene, Barkley Rosser and Alfred Tarski, Godel's idea evolved into the concept of a recursive function. Church pro posed the thesis, generally accepted today, that an effective algorithm is the same thing as a procedure whose output is a recursive function of the input (suitably coded as an integer). With these concepts, it became possible to prove that many familiar theories are undecidable (or non-recursive)-i. e. , that there does not exist an effective algorithm (recursive function) which would allow one to determine which sentences belong to the theory. It was clear from the beginning that any theory with a rich enough mathematical content must be undecidable. On the other hand, some theories with a substantial content are decidable. Examples of such decidabLe theories are the theory of Boolean algebras (Tarski [1949]), the theory of Abelian groups (Szmiele~ [1955]), and the theories of elementary arithmetic and geometry (Tarski [1951]' but Tarski discovered these results around 1930). The de termination of precise lines of division between the classes of decidable and undecidable theories became an important goal of research in this area. algebra we mean simply any structure (A, h(i E I)} consisting of By an a nonvoid set A and a system of finitary operations Ii over A.
Author : Richard Guy
Publisher : Springer Science & Business Media
ISBN 13 : 0387266771
Total Pages : 455 pages
Book Rating : 4.3/5 (872 download)
Download or read book Unsolved Problems in Number Theory written by Richard Guy and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is kept alive by the appearance of new, unsolved problems. This book provides a steady supply of easily understood, if not easily solved, problems that can be considered in varying depths by mathematicians at all levels of mathematical maturity. This new edition features lists of references to OEIS, Neal Sloane’s Online Encyclopedia of Integer Sequences, at the end of several of the sections.
Author : Shigeki Akiyama
Publisher : Springer Nature
ISBN 13 : 3030576663
Total Pages : 456 pages
Book Rating : 4.0/5 (35 download)
Download or read book Substitution and Tiling Dynamics: Introduction to Self-inducing Structures written by Shigeki Akiyama and published by Springer Nature. This book was released on 2020-12-05 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a panorama of recent developments in the theory of tilings and related dynamical systems. It contains an expanded version of courses given in 2017 at the research school associated with the Jean-Morlet chair program. Tilings have been designed, used and studied for centuries in various contexts. This field grew significantly after the discovery of aperiodic self-similar tilings in the 60s, linked to the proof of the undecidability of the Domino problem, and was driven futher by Dan Shechtman's discovery of quasicrystals in 1984. Tiling problems establish a bridge between the mutually influential fields of geometry, dynamical systems, aperiodic order, computer science, number theory, algebra and logic. The main properties of tiling dynamical systems are covered, with expositions on recent results in self-similarity (and its generalizations, fusions rules and S-adic systems), algebraic developments connected to physics, games and undecidability questions, and the spectrum of substitution tilings.
Author : R.P. Bambah
Publisher : Birkhäuser
ISBN 13 : 303487023X
Total Pages : 525 pages
Book Rating : 4.0/5 (348 download)
Download or read book Number Theory written by R.P. Bambah and published by Birkhäuser. This book was released on 2012-12-06 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Indian National Science Academy on the occasion ofthe Golden Jubilee Celebration (Fifty years of India's Independence) decided to publish a number of monographs on the selected fields. The editorial board of INS A invited us to prepare a special monograph in Number Theory. In reponse to this assignment, we invited several eminent Number Theorists to contribute expository/research articles for this monograph on Number Theory. Al though some ofthose invited, due to other preoccupations-could not respond positively to our invitation, we did receive fairly encouraging response from many eminent and creative number theorists throughout the world. These articles are presented herewith in a logical order. We are grateful to all those mathematicians who have sent us their articles. We hope that this monograph will have a significant impact on further development in this subject. R. P. Bambah v. C. Dumir R. J. Hans-Gill A Centennial History of the Prime Number Theorem Tom M. Apostol The Prime Number Theorem Among the thousands of discoveries made by mathematicians over the centuries, some stand out as significant landmarks. One of these is the prime number theorem, which describes the asymptotic distribution of prime numbers. It can be stated in various equivalent forms, two of which are: x (I) K(X) '" -I - as x --+ 00, ogx and Pn '" n log n as n --+ 00. (2) In (1), K(X) denotes the number of primes P ::s x for any x > O.
Author : Catherine Goldstein
Publisher : Birkhäuser
ISBN 13 :
Total Pages : 272 pages
Book Rating : 4.3/5 (91 download)
Download or read book Seminaire De Theorie Des Nombres, Paris 1988-1989 (progress In Mathematics, Vol 91) written by Catherine Goldstein and published by Birkhäuser. This book was released on 1990 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Very Good,No Highlights or Markup,all pages are intact.
Author : Kálmán Györy
Publisher : Walter de Gruyter
ISBN 13 : 3110285584
Total Pages : 1212 pages
Book Rating : 4.1/5 (12 download)
Download or read book Number Theory in Progress written by Kálmán Györy and published by Walter de Gruyter. This book was released on 2012-02-13 with total page 1212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the International Conference on Number Theory organized by the Stefan Banach International Mathematical Center in Honor of the 60th Birthday of Andrzej Schinzel, Zakopane, Poland, June 30-July 9, 1997.
Author : M.A. Bennett
Publisher : CRC Press
ISBN 13 : 0429611412
Total Pages : 458 pages
Book Rating : 4.4/5 (296 download)
Download or read book Number Theory for the Millennium III written by M.A. Bennett and published by CRC Press. This book was released on 2023-03-17 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: Building on the tradition of an outstanding series of conferences at the University of Illinois at Urbana-Champaign, the organizers attracted an international group of scholars to open the new Millennium with a conference that reviewed the current state of number theory research and pointed to future directions in the field. The conference was the largest general number theory conference in recent history, featuring a total of 159 talks, with the plenary lectures given by George Andrews, Jean Bourgain, Kevin Ford, Ron Graham, Andrew Granville, Roger Heath-Brown, Christopher Hooley, Winnie Li, Kumar Murty, Mel Nathanson, Ken Ono, Carl Pomerance, Bjorn Poonen, Wolfgang Schmidt, Chris Skinner, K. Soundararajan, Robert Tijdeman, Robert Vaughan, and Hugh Williams. The Proceedings Volumes of the conference review some of the major number theory achievements of this century and to chart some of the directions in which the subject will be heading during the new century. These volumes will serve as a useful reference to researchers in the area and an introduction to topics of current interest in number theory for a general audience in mathematics.
Author : Jonathan M. Borwein
Publisher : Springer Science & Business Media
ISBN 13 : 1461466423
Total Pages : 395 pages
Book Rating : 4.4/5 (614 download)
Download or read book Number Theory and Related Fields written by Jonathan M. Borwein and published by Springer Science & Business Media. This book was released on 2013-05-16 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Number Theory and Related Fields” collects contributions based on the proceedings of the "International Number Theory Conference in Memory of Alf van der Poorten," hosted by CARMA and held March 12-16th 2012 at the University of Newcastle, Australia. The purpose of the conference was to promote number theory research in Australia while commemorating the legacy of Alf van der Poorten, who had written over 170 papers on the topic of number theory and collaborated with dozens of researchers. The research articles and surveys presented in this book were written by some of the most distinguished mathematicians in the field of number theory, and articles will include related topics that focus on the various research interests of Dr. van der Poorten.
Author : Yoichi Motohashi
Publisher : Cambridge University Press
ISBN 13 : 0521625122
Total Pages : 396 pages
Book Rating : 4.5/5 (216 download)
Download or read book Analytic Number Theory written by Yoichi Motohashi and published by Cambridge University Press. This book was released on 1997-10-16 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: Authoritative, up-to-date review of analytic number theory containing outstanding contributions from leading international figures.
Author : A. Ivić
Publisher : Cambridge University Press
ISBN 13 : 1107028833
Total Pages : 265 pages
Book Rating : 4.1/5 (7 download)
Download or read book The Theory of Hardy's Z-Function written by A. Ivić and published by Cambridge University Press. This book was released on 2013 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive account of Hardy's Z-function, one of the most important functions of analytic number theory.
Author : Peter B. Borwein
Publisher : Springer Science & Business Media
ISBN 13 : 0387721258
Total Pages : 543 pages
Book Rating : 4.3/5 (877 download)
Download or read book The Riemann Hypothesis written by Peter B. Borwein and published by Springer Science & Business Media. This book was released on 2008 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Riemann Hypothesis has become the Holy Grail of mathematics in the century and a half since 1859 when Bernhard Riemann, one of the extraordinary mathematical talents of the 19th century, originally posed the problem. While the problem is notoriously difficult, and complicated even to state carefully, it can be loosely formulated as "the number of integers with an even number of prime factors is the same as the number of integers with an odd number of prime factors." The Hypothesis makes a very precise connection between two seemingly unrelated mathematical objects, namely prime numbers and the zeros of analytic functions. If solved, it would give us profound insight into number theory and, in particular, the nature of prime numbers. This book is an introduction to the theory surrounding the Riemann Hypothesis. Part I serves as a compendium of known results and as a primer for the material presented in the 20 original papers contained in Part II. The original papers place the material into historical context and illustrate the motivations for research on and around the Riemann Hypothesis. Several of these papers focus on computation of the zeta function, while others give proofs of the Prime Number Theorem, since the Prime Number Theorem is so closely connected to the Riemann Hypothesis. The text is suitable for a graduate course or seminar or simply as a reference for anyone interested in this extraordinary conjecture.
