Q Series Their Development And Application In Analysis Number Theory Combinatorics Physics And Computer Algebra Expository Lectures From The Cbms Regional Conference Held At Arizona State University May 1985
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Q Series Their Development And Application In Analysis Number Theory Combinatorics Physics And Computer Algebra
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Author : George E. Andrews
language : en
Publisher: American Mathematical Soc.
Release Date : 1986
Q Series Their Development And Application In Analysis Number Theory Combinatorics Physics And Computer Algebra written by George E. Andrews and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.
Integrates developments and related applications in $q$-series with a historical development of the field. This book develops important analytic topics (Bailey chains, integrals, and constant terms) and applications to additive number theory.
Q Series
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Author : George E. Andrews
language : en
Publisher: American Mathematical Soc.
Release Date : 1986-01-01
Q Series written by George E. Andrews and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-01-01 with Mathematics categories.
Q Series Their Development And Application In Analysis Number Theory Combinatorics Physics And Computer Algebra Expository Lectures From The Cbms Regional Conference Held At Arizona State University May 1985
DOWNLOAD
Author : George E. Andrews
language : en
Publisher:
Release Date : 1986
Q Series Their Development And Application In Analysis Number Theory Combinatorics Physics And Computer Algebra Expository Lectures From The Cbms Regional Conference Held At Arizona State University May 1985 written by George E. Andrews and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with categories.
Q Series Their Development And Application In Analysis Number Theory Combinatorics Physics And Computer Algebra
DOWNLOAD
Author : George E. Andrews
language : en
Publisher:
Release Date : 1986
Q Series Their Development And Application In Analysis Number Theory Combinatorics Physics And Computer Algebra written by George E. Andrews and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with categories.
Q Series
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Author : George Eyre Andrews
language : en
Publisher:
Release Date : 1986
Q Series written by George Eyre Andrews and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with categories.
Q Series With Applications To Combinatorics Number Theory And Physics
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Author : Bruce C. Berndt
language : en
Publisher: American Mathematical Soc.
Release Date : 2001
Q Series With Applications To Combinatorics Number Theory And Physics written by Bruce C. Berndt and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
The subject of $q$-series can be said to begin with Euler and his pentagonal number theorem. In fact, $q$-series are sometimes called Eulerian series. Contributions were made by Gauss, Jacobi, and Cauchy, but the first attempt at a systematic development, especially from the point of view of studying series with the products in the summands, was made by E. Heine in 1847. In the latter part of the nineteenth and in the early part of the twentieth centuries, two Englishmathematicians, L. J. Rogers and F. H. Jackson, made fundamental contributions. In 1940, G. H. Hardy described what we now call Ramanujan's famous $ 1\psi 1$ summation theorem as ``a remarkable formula with many parameters.'' This is now one of the fundamental theorems of the subject. Despite humble beginnings,the subject of $q$-series has flourished in the past three decades, particularly with its applications to combinatorics, number theory, and physics. During the year 2000, the University of Illinois embraced The Millennial Year in Number Theory. One of the events that year was the conference $q$-Series with Applications to Combinatorics, Number Theory, and Physics. This event gathered mathematicians from the world over to lecture and discuss their research. This volume presents nineteen of thepapers presented at the conference. The excellent lectures that are included chart pathways into the future and survey the numerous applications of $q$-series to combinatorics, number theory, and physics.
Q Series From A Contemporary Perspective
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Author : Mourad Ismail
language : en
Publisher: American Mathematical Soc.
Release Date : 2000
Q Series From A Contemporary Perspective written by Mourad Ismail and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
This volume presents the proceedings of the Summer Research Conference on q-series and related topics held at Mount Holyoke College (Hadley, Massachusetts). All of the papers were contributed by participants and offer original research. Articles in the book reflect the diversity of areas that overlap with q-series, as well as the usefulness of q-series across the mathematical sciences. The conference was held in honour of Richard Askey on the occasion of his 65th birthday.
Classical And Quantum Models And Arithmetic Problems
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Author : Chudnovsky
language : en
Publisher: Routledge
Release Date : 2018-10-08
Classical And Quantum Models And Arithmetic Problems written by Chudnovsky and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-08 with Mathematics categories.
Here is an unsurpassed resource-important accounts of a variety of dynamic systems topicsrelated to number theory. Twelve distinguished mathematicians present a rare complete analyticsolution of a geodesic quantum problem on a negatively curved surface ... and explicitdetermination of modular function growth near a real point .. . applications of number theoryto dynamical systems and applications of mathematical physics to number theory . ..tributes to the often-unheralded pioneers in the field ... an examination of completely integrableand exactly solvable physical models .. . and much more!Classical and Quantum Models and Arithmetic Problems is certainly a major source of information,advancing the studies of number theorists, algebraists, and mathematical physicistsinterested in complex mathematical properties of quantum field theory, statistical mechanics,and dynamic systems. Moreover, the volume is a superior source of supplementary readingfor graduate-level courses in dynamic systems and application of number theory .
Q Series And Partitions
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Author : Dennis Stanton
language : en
Publisher:
Release Date : 1989-09-18
Q Series And Partitions written by Dennis Stanton and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-09-18 with categories.
Q Series And Partitions
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Author : Dennis W. Stanton
language : en
Publisher: Springer
Release Date : 1989-09-18
Q Series And Partitions written by Dennis W. Stanton and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-09-18 with Mathematics categories.
This IMA Volume in Mathematics and its Applications q-Series and Partitions is based on the proceedings of a workshop which was an integral part of the 1987-88 IMA program on APPLIED COMBINATORICS. We are grateful to the Scientific Committee: Victor Klee (Chairman), Daniel Kleitman, Dijen Ray-Chaudhuri and Dennis Stanton for planning and implementing an exciting and stimulating year long program. We especially thank the Workshop Organizer, Dennis Stanton, for organizing a workshop which brought together many of the major figures in a variety of research fields in which q-series and partitions are used. A vner Friedman Willard Miller, Jr. PREFACE This volume contains the Proceedings of the Workshop on q-Series and Parti tions held at the IMA on March 7-11, 1988. Also included are papers by Goodman and O'Hara, Macdonald, and Zeilberger on unimodality. This work was of substan tial interest and discussed by many participants in the Workshop. The papers have been grouped into four parts: identities, unimodality of Gaus sian polynomials, constant term problems and related integrals, and orthogonal polynomials. They represent a cross section of the recent work on q-series includ ing: partitions, combinatorics, Lie algebras, analysis, and mathematical physics. I would like to thank the staff of the IMA, and its directors, Avner Friedman and Willard Miller, Jr., for providing a wonderful environment for the Workshop. Patricia Brick and Kaye Smith prepared the manuscripts.