The Modularity of a Certain Calabi-Yau Threefold and Supercongruences for Truncated Hypergeometric Series PDF Download
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Author: Eric Todd Mortenson
Publisher:
ISBN:
Category :
Languages : en
Pages : 132
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Book Description
Author: Eric Todd Mortenson
Publisher:
ISBN:
Category :
Languages : en
Pages : 132
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Book Description
Author:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 730
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Book Description
Author:
Publisher:
ISBN:
Category : Dissertation abstracts
Languages : en
Pages : 776
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Book Description
Author: Bruce C. Berndt
Publisher: Wiley-Interscience
ISBN:
Category : Mathematics
Languages : en
Pages : 608
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Book Description
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.
Author: Ken Ono
Publisher: American Mathematical Soc.
ISBN: 0821833685
Category : Mathematics
Languages : en
Pages : 226
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Book Description
Chapter 1.
Author: Nicholas M. Katz
Publisher: Princeton University Press
ISBN: 9780691085999
Category : Mathematics
Languages : en
Pages : 448
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Book Description
This book is concerned with two areas of mathematics, at first sight disjoint, and with some of the analogies and interactions between them. These areas are the theory of linear differential equations in one complex variable with polynomial coefficients, and the theory of one parameter families of exponential sums over finite fields. After reviewing some results from representation theory, the book discusses results about differential equations and their differential galois groups (G) and one-parameter families of exponential sums and their geometric monodromy groups (G). The final part of the book is devoted to comparison theorems relating G and G of suitably "corresponding" situations, which provide a systematic explanation of the remarkable "coincidences" found "by hand" in the hypergeometric case.
Author: Jan de Gier
Publisher: Springer Nature
ISBN: 3030624978
Category : Mathematics
Languages : en
Pages : 798
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Book Description
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 ten programs held at MATRIX in 2019 and the two programs held in January 2020: · Topology of Manifolds: Interactions Between High and Low Dimensions · Australian-German Workshop on Differential Geometry in the Large · Aperiodic Order meets Number Theory · Ergodic Theory, Diophantine Approximation and Related Topics · Influencing Public Health Policy with Data-informed Mathematical Models of Infectious Diseases · International Workshop on Spatial Statistics · Mathematics of Physiological Rhythms · Conservation Laws, Interfaces and Mixing · Structural Graph Theory Downunder · Tropical Geometry and Mirror Symmetry · Early Career Researchers Workshop on Geometric Analysis and PDEs · Harmonic Analysis and Dispersive PDEs: Problems and Progress 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.
Author: Neal Koblitz
Publisher: Cambridge University Press
ISBN: 0521280605
Category : Mathematics
Languages : en
Pages : 171
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Book Description
An introduction to recent work in the theory of numbers and its interrelation with algebraic geometry and analysis.
Author: Srinivasa Ramanujan
Publisher: Cambridge University Press
ISBN: 1107536510
Category : Mathematics
Languages : en
Pages : 393
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Book Description
Originally published in 1927, this book presents the collected papers of the renowned Indian mathematician Srinivasa Ramanujan (1887-1920), with editorial contributions from G. H. Hardy (1877-1947). Detailed notes are incorporated throughout and appendices are also included. This book will be of value to anyone with an interest in the works of Ramanujan and the history of mathematics.
Author: Wen-ching Li
Publisher: World Scientific Publishing Company
ISBN: 9813104856
Category : Mathematics
Languages : en
Pages : 243
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Book Description
Novel and important applications of number theory to graph theory and vice versa had been made in the past decade. The two main tools used are based on the estimates of character sums and the estimates of the eigenvalues of Hecke operators, both are rooted in the celebrated Weil conjectures settled by Deligne in 1973. The purpose of this book is to give, from scratch, a coherent and comprehensive introduction to the topics in number theory related to the central tools, with the ultimate goal of presenting their applications. This book includes many important subjects in number theory, such as Weil conjectures, Riemann-Roch theorem, L-functions, character sum estimates, modular forms, and representation theory.
