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Author : Ramanujachary Kumanduri
Publisher :
ISBN 13 :
Total Pages : 248 pages
Book Rating : 4.:/5 (319 download)
Download or read book Euler Factors of Global Integrals written by Ramanujachary Kumanduri and published by . This book was released on 1993 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jeremy Case
Publisher :
ISBN 13 :
Total Pages : 400 pages
Book Rating : 4.:/5 (319 download)
Download or read book Analytic Continuation and Rationality of Euler Factors in Integral Representations of L-functions for Classical Groups written by Jeremy Case and published by . This book was released on 1995 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Cornel Ioan Vălean
Publisher : Springer
ISBN 13 : 3030024628
Total Pages : 539 pages
Book Rating : 4.0/5 (3 download)
Download or read book (Almost) Impossible Integrals, Sums, and Series written by Cornel Ioan Vălean and published by Springer. This book was released on 2019-05-10 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a multitude of challenging problems and solutions that are not commonly found in classical textbooks. One goal of the book is to present these fascinating mathematical problems in a new and engaging way and illustrate the connections between integrals, sums, and series, many of which involve zeta functions, harmonic series, polylogarithms, and various other special functions and constants. Throughout the book, the reader will find both classical and new problems, with numerous original problems and solutions coming from the personal research of the author. Where classical problems are concerned, such as those given in Olympiads or proposed by famous mathematicians like Ramanujan, the author has come up with new, surprising or unconventional ways of obtaining the desired results. The book begins with a lively foreword by renowned author Paul Nahin and is accessible to those with a good knowledge of calculus from undergraduate students to researchers, and will appeal to all mathematical puzzlers who love a good integral or series.
Author : Robert S. Doran
Publisher : American Mathematical Soc.
ISBN 13 : 0821810510
Total Pages : 346 pages
Book Rating : 4.8/5 (218 download)
Download or read book Automorphic Forms, Automorphic Representations, and Arithmetic written by Robert S. Doran and published by American Mathematical Soc.. This book was released on 1999 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : James W. Cogdell
Publisher : American Mathematical Soc.
ISBN 13 : 9780821871799
Total Pages : 300 pages
Book Rating : 4.8/5 (717 download)
Download or read book Lectures on Automorphic L-functions written by James W. Cogdell and published by American Mathematical Soc.. This book was released on with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: James W. Cogdell, Lectures on $L$-functions, converse theorems, and functoriality for $GL_n$: Preface Modular forms and their $L$-functions Automorphic forms Automorphic representations Fourier expansions and multiplicity one theorems Eulerian integral representations Local $L$-functions: The non-Archimedean case The unramified calculation Local $L$-functions: The Archimedean case Global $L$-functions Converse theorems Functoriality Functoriality for the classical groups Functoriality for the classical groups, II Henry H. Kim, Automorphic $L$-functions: Introduction Chevalley groups and their properties Cuspidal representations $L$-groups and automorphic $L$-functions Induced representations Eisenstein series and constant terms $L$-functions in the constant terms Meromorphic continuation of $L$-functions Generic representations and their Whittaker models Local coefficients and non-constant terms Local Langlands correspondence Local $L$-functions and functional equations Normalization of intertwining operators Holomorphy and bounded in vertical strips Langlands functoriality conjecture Converse theorem of Cogdell and Piatetski-Shapiro Functoriality of the symmetric cube Functoriality of the symmetric fourth Bibliography M. Ram Murty, Applications of symmetric power $L$-functions: Preface The Sato-Tate conjecture Maass wave forms The Rankin-Selberg method Oscillations of Fourier coefficients of cusp forms Poincare series Kloosterman sums and Selberg's conjecture Refined estimates for Fourier coefficients of cusp forms Twisting and averaging of $L$-series The Kim-Sarnak theorem Introduction to Artin $L$-functions Zeros and poles of Artin $L$-functions The Langlands-Tunnell theorem Bibliography
Author : Ilʹi︠a︡ Iosifovich Pi︠a︡tet︠s︡kiĭ-Shapiro
Publisher : American Mathematical Soc.
ISBN 13 : 9780821809303
Total Pages : 860 pages
Book Rating : 4.8/5 (93 download)
Download or read book Selected Works of Ilya Piatetski-Shapiro written by Ilʹi︠a︡ Iosifovich Pi︠a︡tet︠s︡kiĭ-Shapiro and published by American Mathematical Soc.. This book was released on 2000 with total page 860 pages. Available in PDF, EPUB and Kindle. Book excerpt: This selection of papers of Ilya Piatetski-Shapiro represents almost 50 years of his mathematical activity. Included are many of his major papers in harmonic analysis, number theory, discrete groups, bounded homogeneous domains, algebraic geometry, automorphic forms, and automorphic L-functions. The papers in the volume are intended as a representative and accurate reflection of both the breadth and depth of Piatetski-Shapiro's work in mathematics. Some of his early works, such as those on the prime number theorem and on sets of uniqueness for trigonometric series, appear for the first time in English. Also included are several commentaries by his close colleagues. This volume offers an elegant representation of the contributions made by this renowned mathematician.
Author : Marcus du Sautoy
Publisher : Springer Science & Business Media
ISBN 13 : 1461213800
Total Pages : 434 pages
Book Rating : 4.4/5 (612 download)
Download or read book New Horizons in pro-p Groups written by Marcus du Sautoy and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: A pro-p group is the inverse limit of some system of finite p-groups, that is, of groups of prime-power order where the prime - conventionally denoted p - is fixed. Thus from one point of view, to study a pro-p group is the same as studying an infinite family of finite groups; but a pro-p group is also a compact topological group, and the compactness works its usual magic to bring 'infinite' problems down to manageable proportions. The p-adic integers appeared about a century ago, but the systematic study of pro-p groups in general is a fairly recent development. Although much has been dis covered, many avenues remain to be explored; the purpose of this book is to present a coherent account of the considerable achievements of the last several years, and to point the way forward. Thus our aim is both to stimulate research and to provide the comprehensive background on which that research must be based. The chapters cover a wide range. In order to ensure the most authoritative account, we have arranged for each chapter to be written by a leading contributor (or contributors) to the topic in question. Pro-p groups appear in several different, though sometimes overlapping, contexts.
Author : David Ginzburg
Publisher : American Mathematical Soc.
ISBN 13 : 0821805436
Total Pages : 233 pages
Book Rating : 4.8/5 (218 download)
Download or read book $L$ Functions for the Orthogonal Group written by David Ginzburg and published by American Mathematical Soc.. This book was released on 1997 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, the authors establish global Rankin Selberg integrals which determine the standard [italic capital]L function for the group [italic capitals]GL[subscript italic]r x [italic capital]Gʹ, where [italic capital]Gʹ is an isometry group of a nondegenerate symmetric form. The class of automorphic representations considered here is for any pair [capital Greek]Pi1 [otimes/dyadic/Kronecker/tensor product symbol] [capital Greek]Pi2 where [capital Greek]Pi1 is generic cuspidal for [italic capitals]GL[subscript italic]r([italic capital]A) and [capital Greek]Pi2 is cuspidal for [italic capital]Gʹ([italic capital]A). The construction of these [italic capital]L functions involves the use of certain new "models" of local representations; these models generalize the usual generic models. The authors also computer local unramified factors in a new way using geometric ideas.
Author : Stephen Gelbart
Publisher : Springer
ISBN 13 : 3540478809
Total Pages : 158 pages
Book Rating : 4.5/5 (44 download)
Download or read book Explicit Constructions of Automorphic L-Functions written by Stephen Gelbart and published by Springer. This book was released on 2006-11-15 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of this research monograph is to derive the analytic continuation and functional equation of the L-functions attached by R.P. Langlands to automorphic representations of reductive algebraic groups. The first part of the book (by Piatetski-Shapiro and Rallis) deals with L-functions for the simple classical groups; the second part (by Gelbart and Piatetski-Shapiro) deals with non-simple groups of the form G GL(n), with G a quasi-split reductive group of split rank n. The method of proof is to construct certain explicit zeta-integrals of Rankin-Selberg type which interpolate the relevant Langlands L-functions and can be analyzed via the theory of Eisenstein series and intertwining operators. This is the first time such an approach has been applied to such general classes of groups. The flavor of the local theory is decidedly representation theoretic, and the work should be of interest to researchers in group representation theory as well as number theory.
Author : James Cogdell
Publisher : American Mathematical Society
ISBN 13 : 1470454947
Total Pages : 852 pages
Book Rating : 4.4/5 (74 download)
Download or read book Selected Works of Ilya Piatetski-Shapiro written by James Cogdell and published by American Mathematical Society. This book was released on 2022-11-03 with total page 852 pages. Available in PDF, EPUB and Kindle. Book excerpt: This selection of papers of I. Piatetski-Shapiro represents almost 50 years of his mathematical activity. Included are many of his major papers in harmonic analysis, number theory, discrete groups, bounded homogeneous domains, algebraic geometry, automorphic forms, and automorphic $L$-functions. The papers in the volume are intended as a representative and accurate reflection of both the breadth and depth of Piatetski-Shapiro's work in mathematics. Some of his early works, such as those on the prime number theorem and on sets of uniqueness for trigonometric series, appear for the first time in English. Also included are several commentaries by his close colleagues. This volume offers an elegant representation of the contributions made by this renowned mathematician.
Author : Julia Mueller
Publisher : Cambridge University Press
ISBN 13 : 1108619959
Total Pages : 452 pages
Book Rating : 4.1/5 (86 download)
Download or read book The Genesis of the Langlands Program written by Julia Mueller and published by Cambridge University Press. This book was released on 2021-08-05 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Robert Langlands formulated his celebrated conjectures, initiating the Langlands Program, at the age of 31, profoundly changing the landscape of mathematics. Langlands, recipient of the Abel Prize, is famous for his insight in discovering links among seemingly dissimilar objects, leading to astounding results. This book is uniquely designed to serve a wide range of mathematicians and advanced students, showcasing Langlands' unique creativity and guiding readers through the areas of Langlands' work that are generally regarded as technical and difficult to penetrate. Part 1 features non-technical personal reflections, including Langlands' own words describing how and why he was led to formulate his conjectures. Part 2 includes survey articles of Langlands' early work that led to his conjectures, and centers on his principle of functoriality and foundational work on the Eisenstein series, and is accessible to mathematicians from other fields. Part 3 describes some of Langlands' contributions to mathematical physics.
Author : C. Edward Sandifer
Publisher : American Mathematical Soc.
ISBN 13 : 1470451808
Total Pages : 391 pages
Book Rating : 4.4/5 (74 download)
Download or read book The Early Mathematics of Leonhard Euler written by C. Edward Sandifer and published by American Mathematical Soc.. This book was released on 2020-07-14 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Early Mathematics of Leonhard Euler gives an article-by-article description of Leonhard Euler's early mathematical works; the 50 or so mathematical articles he wrote before he left St. Petersburg in 1741 to join the Academy of Frederick the Great in Berlin. These early pieces contain some of Euler's greatest work, the Konigsberg bridge problem, his solution to the Basel problem, and his first proof of the Euler-Fermat theorem. It also presents important results that we seldom realize are due to Euler; that mixed partial derivatives are (usually) equal, our f(x) f(x) notation, and the integrating factor in differential equations. The books shows how contributions in diverse fields are related, how number theory relates to series, which, in turn, relate to elliptic integrals and then to differential equations. There are dozens of such strands in this beautiful web of mathematics. At the same time, we see Euler grow in power and sophistication, from a young student when at 18 he published his first work on differential equations (a paper with a serious flaw) to the most celebrated mathematician and scientist of his time. It is a portrait of the world's most exciting mathematics between 1725 and 1741, rich in technical detail, woven with connections within Euler's work and with the work of other mathematicians in other times and places, laced with historical context.
Author : George Boros
Publisher : Cambridge University Press
ISBN 13 : 9780521796361
Total Pages : 326 pages
Book Rating : 4.7/5 (963 download)
Download or read book Irresistible Integrals written by George Boros and published by Cambridge University Press. This book was released on 2004-06-21 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, first published in 2004, uses the problem of exact evaluation of definite integrals as a starting point for exploring many areas of mathematics.
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 : Mariano Giaquinta
Publisher : Princeton University Press
ISBN 13 : 9780691083315
Total Pages : 312 pages
Book Rating : 4.0/5 (833 download)
Download or read book Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems written by Mariano Giaquinta and published by Princeton University Press. This book was released on 1983-11-21 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: The description for this book, Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105), Volume 105, will be forthcoming.
Author : Haruzo Hida
Publisher : JHU Press
ISBN 13 : 9780801878602
Total Pages : 946 pages
Book Rating : 4.8/5 (786 download)
Download or read book Contributions to Automorphic Forms, Geometry, and Number Theory written by Haruzo Hida and published by JHU Press. This book was released on 2004-03-11 with total page 946 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Contributions to Automorphic Forms, Geometry, and Number Theory, Haruzo Hida, Dinakar Ramakrishnan, and Freydoon Shahidi bring together a distinguished group of experts to explore automorphic forms, principally via the associated L-functions, representation theory, and geometry. Because these themes are at the cutting edge of a central area of modern mathematics, and are related to the philosophical base of Wiles' proof of Fermat's last theorem, this book will be of interest to working mathematicians and students alike. Never previously published, the contributions to this volume expose the reader to a host of difficult and thought-provoking problems. Each of the extraordinary and noteworthy mathematicians in this volume makes a unique contribution to a field that is currently seeing explosive growth. New and powerful results are being proved, radically and continually changing the field's make up. Contributions to Automorphic Forms, Geometry, and Number Theory will likely lead to vital interaction among researchers and also help prepare students and other young mathematicians to enter this exciting area of pure mathematics. Contributors: Jeffrey Adams, Jeffrey D. Adler, James Arthur, Don Blasius, Siegfried Boecherer, Daniel Bump, William Casselmann, Laurent Clozel, James Cogdell, Laurence Corwin, Solomon Friedberg, Masaaki Furusawa, Benedict Gross, Thomas Hales, Joseph Harris, Michael Harris, Jeffrey Hoffstein, Hervé Jacquet, Dihua Jiang, Nicholas Katz, Henry Kim, Victor Kreiman, Stephen Kudla, Philip Kutzko, V. Lakshmibai, Robert Langlands, Erez Lapid, Ilya Piatetski-Shapiro, Dipendra Prasad, Stephen Rallis, Dinakar Ramakrishnan, Paul Sally, Freydoon Shahidi, Peter Sarnak, Rainer Schulze-Pillot, Joseph Shalika, David Soudry, Ramin Takloo-Bigash, Yuri Tschinkel, Emmanuel Ullmo, Marie-France Vignéras, Jean-Loup Waldspurger.
Author : Donald Clayton Spencer
Publisher : Princeton University Press
ISBN 13 : 1400871239
Total Pages : 423 pages
Book Rating : 4.4/5 (8 download)
Download or read book Global Analysis written by Donald Clayton Spencer and published by Princeton University Press. This book was released on 2015-03-08 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: Global analysis describes diverse yet interrelated research areas in analysis and algebraic geometry, particularly those in which Kunihiko Kodaira made his most outstanding contributions to mathematics. The eminent contributors to this volume, from Japan, the United States, and Europe, have prepared original research papers that illustrate the progress and direction of current research in complex variables and algebraic and differential geometry. The authors investigate, among other topics, complex manifolds, vector bundles, curved 4-dimensional space, and holomorphic mappings. Bibliographies facilitate further reading in the development of the various studies. Originally published in 1970. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
