Character Sum Analogues For Hypergeometric And Generalized Hypergeometric Functions Over Finite Fields
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Character Sum Analogues For Hypergeometric And Generalized Hypergeometric Functions Over Finite Fields
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Author : John Robert Greene
language : en
Publisher:
Release Date : 1984
Character Sum Analogues For Hypergeometric And Generalized Hypergeometric Functions Over Finite Fields written by John Robert Greene and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with categories.
Hypergeometric Functions Over Finite Fields
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Author : Jenny Fuselier
language : en
Publisher: American Mathematical Society
Release Date : 2022-11-10
Hypergeometric Functions Over Finite Fields written by Jenny Fuselier and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-10 with Mathematics categories.
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Gauss Hypergeometric Function
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Author : Ravi Dwivedi
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2024-12-02
Gauss Hypergeometric Function written by Ravi Dwivedi and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-02 with Science categories.
This book presents a novel journey of the Gauss hypergeometric function and contains the different versions of the Gaussian hypergeometric function, including its classical version. In particular, the $q$-Gauss or basic Gauss hypergeometric function, Gauss hypergeometric function with matrix arguments, Gauss hypergeometric function with matrix parameters, the matrix-valued Gauss hypergeometric function, the finite field version, the extended Gauss hypergeometric function, the $(p, q)$- Gauss hypergeometric function, the incomplete Gauss hypergeometric function and the discrete analogue of Gauss hypergeometric function. All these forms of the Gauss hypergeometric function and their properties are presented in such a way that the reader can understand the working algorithm and apply the same for other special functions. This book is useful for UG and PG students, researchers and faculty members working in the field of special functions and related areas.
Gauss And Jacobi Sums
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Author : Bruce C. Berndt
language : en
Publisher: Wiley-Interscience
Release Date : 1998-06
Gauss And Jacobi Sums written by Bruce C. Berndt and has been published by Wiley-Interscience this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-06 with Mathematics categories.
Devised in the 19th century, Gauss and Jacobi Sums are classical formulas that form the basis for contemporary research in many of today's sciences. This book offers readers a solid grounding on the origin of these abstract, general theories. Though the main focus is on Gauss and Jacobi, the book does explore other relevant formulas, including Cauchy.
Pacific Journal Of Mathematics
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Author :
language : en
Publisher:
Release Date : 1986-03
Pacific Journal Of Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-03 with Mathematics categories.
Collected Papers Of Srinivasa Ramanujan
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Author : Srinivasa Ramanujan Aiyangar
language : en
Publisher: American Mathematical Soc.
Release Date : 2000
Collected Papers Of Srinivasa Ramanujan written by Srinivasa Ramanujan Aiyangar 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.
The influence of Ramanujan on number theory is without parallel in mathematics. His papers, problems and letters have spawned a remarkable number of later results by many different mathematicians. Here, his 37 published papers, most of his first two and last letters to Hardy, the famous 58 problems submitted to the Journal of the Indian Mathematical Society, and the commentary of the original editors (Hardy, Seshu Aiyar and Wilson) are reprinted again, after having been unavailable for some time. In this, the third printing of Ramanujan's collected papers, Bruce Berndt provides an annotated guide to Ramanujan's work and to the mathematics it inspired over the last three-quarters of a century. The historical development of ideas is traced in the commentary and by citations to the copious references. The editor has done the mathematical world a tremendous service that few others would be qualified to do.
Dissertation Abstracts International
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Author :
language : en
Publisher:
Release Date : 2001
Dissertation Abstracts International written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Dissertations, Academic categories.
American Journal Of Mathematics
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Author :
language : en
Publisher:
Release Date : 2002
American Journal Of Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with categories.
Orthogonal Polynomials And Special Functions
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Author : Richard Askey
language : en
Publisher: SIAM
Release Date : 1975-06-01
Orthogonal Polynomials And Special Functions written by Richard Askey and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975-06-01 with Mathematics categories.
This volume presents the idea that one studies orthogonal polynomials and special functions to use them to solve problems.
Geometric Aspects Of Dwork Theory
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Author : Alan Adolphson
language : en
Publisher: Walter de Gruyter
Release Date : 2008-08-22
Geometric Aspects Of Dwork Theory written by Alan Adolphson and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-08-22 with Mathematics categories.
This two-volume book collects the lectures given during the three months cycle of lectures held in Northern Italy between May and July of 2001 to commemorate Professor Bernard Dwork (1923 - 1998). It presents a wide-ranging overview of some of the most active areas of contemporary research in arithmetic algebraic geometry, with special emphasis on the geometric applications of the p-adic analytic techniques originating in Dwork's work, their connection to various recent cohomology theories and to modular forms. The two volumes contain both important new research and illuminating survey articles written by leading experts in the field. The book will provide an indispensable resource for all those wishing to approach the frontiers of research in arithmetic algebraic geometry.