Hypergeometric Functions Over Finite Fields

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Hypergeometric Functions Over Finite Fields

Author : Jenny Fuselier,Ling Long,Ravi Ramakrishna,Holly Swisher,Fang-Ting Tu
Publisher : American Mathematical Society
Page : 138 pages
File Size : 51,9 Mb
Release : 2022-11-10
Category : Mathematics
ISBN : 9781470454333

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Hypergeometric Functions Over Finite Fields by Jenny Fuselier,Ling Long,Ravi Ramakrishna,Holly Swisher,Fang-Ting Tu Pdf

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2017 MATRIX Annals

Author : Jan de Gier,Cheryl E. Praeger,Terence Tao
Publisher : Springer
Page : 691 pages
File Size : 53,8 Mb
Release : 2019-03-13
Category : Mathematics
ISBN : 9783030041618

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2017 MATRIX Annals by Jan de Gier,Cheryl E. Praeger,Terence Tao Pdf

​MATRIX is Australia’s international and residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each 1-4 weeks in duration. This book is a scientific record of the eight programs held at MATRIX in its second year, 2017: - Hypergeometric Motives and Calabi–Yau Differential Equations - Computational Inverse Problems - Integrability in Low-Dimensional Quantum Systems - Elliptic Partial Differential Equations of Second Order: Celebrating 40 Years of Gilbarg and Trudinger’s Book - Combinatorics, Statistical Mechanics, and Conformal Field Theory - Mathematics of Risk - Tutte Centenary Retreat - Geometric R-Matrices: from Geometry to Probability The articles are grouped into peer-reviewed contributions and other contributions. The peer-reviewed articles present original results or reviews on a topic related to the MATRIX program; the remaining contributions are predominantly lecture notes or short articles based on talks or activities at MATRIX.

From Operator Theory to Orthogonal Polynomials, Combinatorics, and Number Theory

Author : Fritz Gesztesy,Andrei Martinez-Finkelshtein
Publisher : Springer Nature
Page : 388 pages
File Size : 55,8 Mb
Release : 2021-11-11
Category : Mathematics
ISBN : 9783030754259

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From Operator Theory to Orthogonal Polynomials, Combinatorics, and Number Theory by Fritz Gesztesy,Andrei Martinez-Finkelshtein Pdf

The main topics of this volume, dedicated to Lance Littlejohn, are operator and spectral theory, orthogonal polynomials, combinatorics, number theory, and the various interplays of these subjects. Although the event, originally scheduled as the Baylor Analysis Fest, had to be postponed due to the pandemic, scholars from around the globe have contributed research in a broad range of mathematical fields. The collection will be of interest to both graduate students and professional mathematicians. Contributors are: G.E. Andrews, B.M. Brown, D. Damanik, M.L. Dawsey, W.D. Evans, J. Fillman, D. Frymark, A.G. García, L.G. Garza, F. Gesztesy, D. Gómez-Ullate, Y. Grandati, F.A. Grünbaum, S. Guo, M. Hunziker, A. Iserles, T.F. Jones, K. Kirsten, Y. Lee, C. Liaw, F. Marcellán, C. Markett, A. Martinez-Finkelshtein, D. McCarthy, R. Milson, D. Mitrea, I. Mitrea, M. Mitrea, G. Novello, D. Ong, K. Ono, J.L. Padgett, M.M.M. Pang, T. Poe, A. Sri Ranga, K. Schiefermayr, Q. Sheng, B. Simanek, J. Stanfill, L. Velázquez, M. Webb, J. Wilkening, I.G. Wood, M. Zinchenko.

Directions in Number Theory

Author : Ellen E. Eischen,Ling Long,Rachel Pries,Katherine E. Stange
Publisher : Springer
Page : 339 pages
File Size : 51,5 Mb
Release : 2016-09-26
Category : Mathematics
ISBN : 9783319309767

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Directions in Number Theory by Ellen E. Eischen,Ling Long,Rachel Pries,Katherine E. Stange Pdf

Exploring the interplay between deep theory and intricate computation, this volume is a compilation of research and survey papers in number theory, written by members of the Women In Numbers (WIN) network, principally by the collaborative research groups formed at Women In Numbers 3, a conference at the Banff International Research Station in Banff, Alberta, on April 21-25, 2014. The papers span a wide range of research areas: arithmetic geometry; analytic number theory; algebraic number theory; and applications to coding and cryptography. The WIN conference series began in 2008, with the aim of strengthening the research careers of female number theorists. The series introduced a novel research-mentorship model: women at all career stages, from graduate students to senior members of the community, joined forces to work in focused research groups on cutting-edge projects designed and led by experienced researchers. The goals for Women In Numbers 3 were to establish ambitious new collaborations between women in number theory, to train junior participants about topics of current importance, and to continue to build a vibrant community of women in number theory. Forty-two women attended the WIN3 workshop, including 15 senior and mid-level faculty, 15 junior faculty and postdocs, and 12 graduate students.

Vertex Operator Algebras, Number Theory and Related Topics

Author : Matthew Krauel,Michael Tuite,Gaywalee Yamskulna
Publisher : American Mathematical Soc.
Page : 250 pages
File Size : 40,5 Mb
Release : 2020-07-13
Category : Education
ISBN : 9781470449384

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Vertex Operator Algebras, Number Theory and Related Topics by Matthew Krauel,Michael Tuite,Gaywalee Yamskulna Pdf

This volume contains the proceedings of the International Conference on Vertex Operator Algebras, Number Theory, and Related Topics, held from June 11–15, 2018, at California State University, Sacramento, California. The mathematics of vertex operator algebras, vector-valued modular forms and finite group theory continues to provide a rich and vibrant landscape in mathematics and physics. The resurgence of moonshine related to the Mathieu group and other groups, the increasing role of algebraic geometry and the development of irrational vertex operator algebras are just a few of the exciting and active areas at present. The proceedings center around active research on vertex operator algebras and vector-valued modular forms and offer original contributions to the areas of vertex algebras and number theory, surveys on some of the most important topics relevant to these fields, introductions to new fields related to these and open problems from some of the leaders in these areas.

Issues in Mathematical Theory and Modeling: 2013 Edition

Author : Anonim
Publisher : ScholarlyEditions
Page : 403 pages
File Size : 45,5 Mb
Release : 2013-05-01
Category : Mathematics
ISBN : 9781490110158

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Issues in Mathematical Theory and Modeling: 2013 Edition by Anonim Pdf

Issues in Mathematical Theory and Modeling / 2013 Edition is a ScholarlyEditions™ book that delivers timely, authoritative, and comprehensive information about Lie Theory. The editors have built Issues in Mathematical Theory and Modeling: 2013 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Lie Theory in this book to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Mathematical Theory and Modeling: 2013 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Arithmetic, Geometry, Cryptography, and Coding Theory 2021

Author : Samuele Anni,Valentijn Karemaker,Elisa Lorenzo García
Publisher : American Mathematical Society
Page : 198 pages
File Size : 41,9 Mb
Release : 2022-07-06
Category : Mathematics
ISBN : 9781470467944

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Arithmetic, Geometry, Cryptography, and Coding Theory 2021 by Samuele Anni,Valentijn Karemaker,Elisa Lorenzo García Pdf

This volume contains the proceedings of the 18th International Conference on Arithmetic, Geometry, Cryptography, and Coding Theory, held (online) from May 31 to June 4, 2021. For over thirty years, the biennial international conference AGC$^2$T (Arithmetic, Geometry, Cryptography, and Coding Theory) has brought researchers together to forge connections between arithmetic geometry and its applications to coding theory and to cryptography. The papers illustrate the fruitful interaction between abstract theory and explicit computations, covering a large range of topics, including Belyi maps, Galois representations attached to elliptic curves, reconstruction of curves from their Jacobians, isogeny graphs of abelian varieties, hypergeometric equations, and Drinfeld modules.

Applications of Curves over Finite Fields

Author : Michael D. Fried
Publisher : American Mathematical Soc.
Page : 254 pages
File Size : 41,9 Mb
Release : 1999
Category : Mathematics
ISBN : 9780821809259

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Applications of Curves over Finite Fields by Michael D. Fried Pdf

This volume presents the results of the AMS-IMS-SIAM Joint Summer Research Conference held at the University of Washington (Seattle). The talks were devoted to various aspects of the theory of algebraic curves over finite fields and its numerous applications. The three basic themes are the following: 1. Curves with many rational points. Several articles describe main approaches to the construction of such curves: the Drinfeld modules and fiber product methods, the moduli space approach, and the constructions using classical curves. 2. Monodromy groups of characteristic $p$ covers. A number of authors presented the results and conjectures related to the study of the monodromy groups of curves over finite fields. In particular, they study the monodromy groups from genus 0 covers, reductions of covers, and explicit computation of monodromy groups over finite fields. 3. Zeta functions and trace formulas. To a large extent, papers devoted to this topic reflect the contributions of Professor Bernard Dwork and his students. This conference was the last attended by Professor Dwork before his death, and several papers inspired by his presence include commentaries about the applications of trace formulas and L-function. The volume also contains a detailed introduction paper by Professor Michael Fried, which helps the reader to navigate the material presented in the book.

Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics

Author : Frank G. Garvan,Mourad E.H. Ismail
Publisher : Springer Science & Business Media
Page : 287 pages
File Size : 40,8 Mb
Release : 2013-12-01
Category : Computers
ISBN : 9781461302575

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Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics by Frank G. Garvan,Mourad E.H. Ismail Pdf

These are the proceedings of the conference "Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics" held at the Department of Mathematics, University of Florida, Gainesville, from November 11 to 13, 1999. The main emphasis of the conference was Com puter Algebra (i. e. symbolic computation) and how it related to the fields of Number Theory, Special Functions, Physics and Combinatorics. A subject that is common to all of these fields is q-series. We brought together those who do symbolic computation with q-series and those who need q-series in cluding workers in Physics and Combinatorics. The goal of the conference was to inform mathematicians and physicists who use q-series of the latest developments in the field of q-series and especially how symbolic computa tion has aided these developments. Over 60 people were invited to participate in the conference. We ended up having 45 participants at the conference, including six one hour plenary speakers and 28 half hour speakers. There were talks in all the areas we were hoping for. There were three software demonstrations.

Finite Fields: Theory and Applications

Author : Gary McGuire
Publisher : American Mathematical Soc.
Page : 394 pages
File Size : 49,7 Mb
Release : 2010
Category : Computers
ISBN : 9780821847862

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Finite Fields: Theory and Applications by Gary McGuire Pdf

This volume contains the proceedings of the Ninth International Conference on Finite Fields and Applications, held in Ireland, July 13-17, 2009. It includes survey papers by all invited speakers as well as selected contributed papers. Finite fields continue to grow in mathematical importance due to applications in many diverse areas. This volume contains a variety of results advancing the theory of finite fields and connections with, as well as impact on, various directions in number theory, algebra, and algebraic geometry. Areas of application include algebraic coding theory, cryptology, and combinatorial design theory.

Orthogonal Polynomials and Special Functions

Author : Richard Askey
Publisher : SIAM
Page : 115 pages
File Size : 49,8 Mb
Release : 1975-06-01
Category : Mathematics
ISBN : 9780898710182

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Orthogonal Polynomials and Special Functions by Richard Askey Pdf

This volume presents the idea that one studies orthogonal polynomials and special functions to use them to solve problems.

Hypergeometric Functions on Domains of Positivity, Jack Polynomials, and Applications

Author : Donald St. P. Richards
Publisher : American Mathematical Soc.
Page : 272 pages
File Size : 45,9 Mb
Release : 1992
Category : Mathematics
ISBN : 9780821851593

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Hypergeometric Functions on Domains of Positivity, Jack Polynomials, and Applications by Donald St. P. Richards Pdf

This book is the first set of proceedings to be devoted entirely to the theory of hypergeometric functions defined on domains of positivity. Most of the scientific areas in which these functions are applied include analytic number theory, combinatorics, harmonic analysis, random walks, representation theory, and mathematical physics - are represented here. This volume is based largely on lectures presented at a Special Session at the AMS meeting in Tampa, Florida in March 1991, which was devoted to hypergeometric functions of matrix argument and to fostering communication among representatives of the diverse scientific areas in which these functions are utilized. Accessible to graduate students and others seeking an introduction to the state of the art in this area, this book is a suitable text for advanced graduate seminar courses for it contains many open problems.

Handbook of Finite Fields

Author : Gary L. Mullen,Daniel Panario
Publisher : CRC Press
Page : 1048 pages
File Size : 46,6 Mb
Release : 2013-06-17
Category : Computers
ISBN : 9781439873823

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Handbook of Finite Fields by Gary L. Mullen,Daniel Panario Pdf

Poised to become the leading reference in the field, the Handbook of Finite Fields is exclusively devoted to the theory and applications of finite fields. More than 80 international contributors compile state-of-the-art research in this definitive handbook. Edited by two renowned researchers, the book uses a uniform style and format throughout and