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Author : E. Kowalski
Publisher :
ISBN 13 :
Total Pages : 49 pages
Book Rating : 4.:/5 (633 download)
Download or read book Mollification of the Fourth Moment of Automorphic L-functions and Arithmetic Applications written by E. Kowalski and published by . This book was released on 1999 with total page 49 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Henryk Iwaniec
Publisher : American Mathematical Soc.
ISBN 13 : 1470467704
Total Pages : 615 pages
Book Rating : 4.4/5 (74 download)
Download or read book Analytic Number Theory written by Henryk Iwaniec and published by American Mathematical Soc.. This book was released on 2021-10-14 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analytic Number Theory distinguishes itself by the variety of tools it uses to establish results. One of the primary attractions of this theory is its vast diversity of concepts and methods. The main goals of this book are to show the scope of the theory, both in classical and modern directions, and to exhibit its wealth and prospects, beautiful theorems, and powerful techniques. The book is written with graduate students in mind, and the authors nicely balance clarity, completeness, and generality. The exercises in each section serve dual purposes, some intended to improve readers' understanding of the subject and others providing additional information. Formal prerequisites for the major part of the book do not go beyond calculus, complex analysis, integration, and Fourier series and integrals. In later chapters automorphic forms become important, with much of the necessary information about them included in two survey chapters.
Author : J. B. Conrey
Publisher : Cambridge University Press
ISBN 13 : 0521699649
Total Pages : 5 pages
Book Rating : 4.5/5 (216 download)
Download or read book Ranks of Elliptic Curves and Random Matrix Theory written by J. B. Conrey and published by Cambridge University Press. This book was released on 2007-02-08 with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive volume introduces elliptic curves and the fundamentals of modeling by a family of random matrices.
Author : S.D. Adhikari
Publisher : Springer
ISBN 13 : 9386279096
Total Pages : 280 pages
Book Rating : 4.3/5 (862 download)
Download or read book Current Trends in Number Theory written by S.D. Adhikari and published by Springer. This book was released on 2002-01-01 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the International Conference on Number Theory, held at Allahabad in November 2000.
Author :
Publisher :
ISBN 13 :
Total Pages : 424 pages
Book Rating : 4.:/5 (318 download)
Download or read book Acta arithmetica written by and published by . This book was released on 2014 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 514 pages
Book Rating : 4.3/5 (91 download)
Download or read book Annales Scientifiques de L'École Normale Supérieure written by and published by . This book was released on 2007 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Björn Engquist
Publisher : Springer
ISBN 13 : 364256478X
Total Pages : 1219 pages
Book Rating : 4.6/5 (425 download)
Download or read book Mathematics Unlimited - 2001 and Beyond written by Björn Engquist and published by Springer. This book was released on 2017-04-05 with total page 1219 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book guaranteed to delight the reader. It not only depicts the state of mathematics at the end of the century, but is also full of remarkable insights into its future de- velopment as we enter a new millennium. True to its title, the book extends beyond the spectrum of mathematics to in- clude contributions from other related sciences. You will enjoy reading the many stimulating contributions and gain insights into the astounding progress of mathematics and the perspectives for its future. One of the editors, Björn Eng- quist, is a world-renowned researcher in computational sci- ence and engineering. The second editor, Wilfried Schmid, is a distinguished mathematician at Harvard University. Likewi- se the authors are all foremost mathematicians and scien- tists, and their biographies and photographs appear at the end of the book. Unique in both form and content, this is a "must-read" for every mathematician and scientist and, in particular, for graduates still choosing their specialty. Limited collector's edition - an exclusive and timeless work. This special, numbered edition will be available until June 1, 2000. Firm orders only.
Author :
Publisher :
ISBN 13 :
Total Pages : 1100 pages
Book Rating : 4.X/5 (6 download)
Download or read book Mathematical Reviews written by and published by . This book was released on 2001 with total page 1100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sukumar Das Adhikari
Publisher :
ISBN 13 :
Total Pages : 184 pages
Book Rating : 4.3/5 (91 download)
Download or read book Number Theory written by Sukumar Das Adhikari and published by . This book was released on 2005 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 270 pages
Book Rating : 4.3/5 (91 download)
Download or read book Journal de théorie des nombres de Bordeaux written by and published by . This book was released on 2007 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Henryk Iwaniec
Publisher : American Mathematical Soc.
ISBN 13 : 0821807773
Total Pages : 274 pages
Book Rating : 4.8/5 (218 download)
Download or read book Topics in Classical Automorphic Forms written by Henryk Iwaniec and published by American Mathematical Soc.. This book was released on 1997 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Peter Sarnak
Publisher : Cambridge University Press
ISBN 13 : 1316582442
Total Pages : 124 pages
Book Rating : 4.3/5 (165 download)
Download or read book Some Applications of Modular Forms written by Peter Sarnak and published by Cambridge University Press. This book was released on 1990-11-15 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of modular forms and especially the so-called 'Ramanujan Conjectures' have been applied to resolve problems in combinatorics, computer science, analysis and number theory. This tract, based on the Wittemore Lectures given at Yale University, is concerned with describing some of these applications. In order to keep the presentation reasonably self-contained, Professor Sarnak begins by developing the necessary background material in modular forms. He then considers the solution of three problems: the Ruziewicz problem concerning finitely additive rotationally invariant measures on the sphere; the explicit construction of highly connected but sparse graphs: 'expander graphs' and 'Ramanujan graphs'; and the Linnik problem concerning the distribution of integers that represent a given large integer as a sum of three squares. These applications are carried out in detail. The book therefore should be accessible to a wide audience of graduate students and researchers in mathematics and computer science.
Author : Peter Sarnak
Publisher : American Mathematical Soc.
ISBN 13 : 0821828738
Total Pages : 443 pages
Book Rating : 4.8/5 (218 download)
Download or read book Automorphic Forms and Applications written by Peter Sarnak and published by American Mathematical Soc.. This book was released on 2007 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of automorphic forms has seen dramatic developments in recent years. In particular, important instances of Langlands functoriality have been established. This volume presents three weeks of lectures from the IAS/Park City Mathematics Institute Summer School on automorphic forms and their applications. It addresses some of the general aspects of automorphic forms, as well as certain recent advances in the field. The book starts with the lectures of Borel on the basic theory of automorphic forms, which lay the foundation for the lectures by Cogdell and Shahidi on converse theorems and the Langlands-Shahidi method, as well as those by Clozel and Li on the Ramanujan conjectures and graphs. The analytic theory of GL(2)-forms and $L$-functions are the subject of Michel's lectures, while Terras covers arithmetic quantum chaos. The volume also includes a chapter by Vogan on isolated unitary representations, which is related to the lectures by Clozel. This volume is recommended for independent study or an advanced topics course. It is suitable for graduate students and researchers interested in automorphic forms and number theory. the Institute for Advanced Study/Park City Mathematics Institute. Members of the Mathematical Association of America (MAA) and the National Council of Teachers of Mathematics (NCTM) receive a 20% discount from list price.
Author : William Duke
Publisher : American Mathematical Soc.
ISBN 13 : 9780821843079
Total Pages : 270 pages
Book Rating : 4.8/5 (43 download)
Download or read book Analytic Number Theory written by William Duke and published by American Mathematical Soc.. This book was released on 2007 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: Articles in this volume are based on talks given at the Gauss-Dirichlet Conference held in Gottingen on June 20-24, 2005. The conference commemorated the 150th anniversary of the death of C.-F. Gauss and the 200th anniversary of the birth of J.-L. Dirichlet. The volume begins with a definitive summary of the life and work of Dirichlet and continues with thirteen papers by leading experts on research topics of current interest in number theory that were directly influenced by Gauss and Dirichlet. Among the topics are the distribution of primes (long arithmetic progressions of primes and small gaps between primes), class groups of binary quadratic forms, various aspects of the theory of $L$-functions, the theory of modular forms, and the study of rational and integral solutions to polynomial equations in several variables. Information for our distributors: Titles in this series are co-published with the Clay Mathematics Institute (Cambridge, MA).
Author : Anton Baranov
Publisher : Birkhäuser
ISBN 13 : 3319590782
Total Pages : 477 pages
Book Rating : 4.3/5 (195 download)
Download or read book 50 Years with Hardy Spaces written by Anton Baranov and published by Birkhäuser. This book was released on 2018-03-28 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written in honor of Victor Havin (1933–2015), this volume presents a collection of surveys and original papers on harmonic and complex analysis, function spaces and related topics, authored by internationally recognized experts in the fields. It also features an illustrated scientific biography of Victor Havin, one of the leading analysts of the second half of the 20th century and founder of the Saint Petersburg Analysis Seminar. A complete list of his publications, as well as his public speech "Mathematics as a source of certainty and uncertainty", presented at the Doctor Honoris Causa ceremony at Linköping University, are also included.
Author : S. J. Patterson
Publisher : Cambridge University Press
ISBN 13 : 9780521499057
Total Pages : 176 pages
Book Rating : 4.4/5 (99 download)
Download or read book An Introduction to the Theory of the Riemann Zeta-Function written by S. J. Patterson and published by Cambridge University Press. This book was released on 1995-02-02 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the analytic techniques used in the investigation of zeta functions through the example of the Riemann zeta function. It emphasizes central ideas of broad application, avoiding technical results and the customary function-theoretic appro
Author : Alina Bucur
Publisher : American Mathematical Soc.
ISBN 13 : 1470437848
Total Pages : 248 pages
Book Rating : 4.4/5 (74 download)
Download or read book Analytic Methods in Arithmetic Geometry written by Alina Bucur and published by American Mathematical Soc.. This book was released on 2019-11-22 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last decade or so, analytic methods have had great success in answering questions in arithmetic geometry and number theory. The School provided a unique opportunity to introduce graduate students to analytic methods in arithmetic geometry. The book contains four articles. Alina C. Cojocaru's article introduces sieving techniques to study the group structure of points of the reduction of an elliptic curve modulo a rational prime via its division fields. Harald A. Helfgott's article provides an introduction to the study of growth in groups of Lie type, with SL2(Fq) and some of its subgroups as the key examples. The article by Étienne Fouvry, Emmanuel Kowalski, Philippe Michel, and Will Sawin describes how a systematic use of the deep methods from ℓ-adic cohomology pioneered by Grothendieck and Deligne and further developed by Katz and Laumon help make progress on various classical questions from analytic number theory. The last article, by Andrew V. Sutherland, introduces Sato-Tate groups and explores their relationship with Galois representations, motivic L-functions, and Mumford-Tate groups.
