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The Theory Of Partitions


The Theory Of Partitions
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The Theory Of Partitions


The Theory Of Partitions
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Author : George E. Andrews
language : en
Publisher: Cambridge University Press
Release Date : 1998-07-28

The Theory Of Partitions written by George E. Andrews and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-07-28 with Mathematics categories.


Discusses mathematics related to partitions of numbers into sums of positive integers.



Integer Partitions


Integer Partitions
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Author : George E. Andrews
language : en
Publisher: Cambridge University Press
Release Date : 2004-10-11

Integer Partitions written by George E. Andrews and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-11 with Mathematics categories.


Provides a wide ranging introduction to partitions, accessible to any reader familiar with polynomials and infinite series.



The Theory Of Partitions


The Theory Of Partitions
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Author : George E. Andrews
language : en
Publisher:
Release Date : 2003

The Theory Of Partitions 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 2003 with Number theory categories.




The Theory Of Partitions


The Theory Of Partitions
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Author : George E. Andrews
language : en
Publisher:
Release Date : 2014-05-18

The Theory Of Partitions 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 2014-05-18 with Electronic books categories.


Discusses mathematics related to partitions of numbers into sums of positive integers.



Combinatorics Of Set Partitions


Combinatorics Of Set Partitions
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Author : Toufik Mansour
language : en
Publisher: CRC Press
Release Date : 2012-07-27

Combinatorics Of Set Partitions written by Toufik Mansour and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-27 with Computers categories.


Focusing on a very active area of mathematical research in the last decade, Combinatorics of Set Partitions presents methods used in the combinatorics of pattern avoidance and pattern enumeration in set partitions. Designed for students and researchers in discrete mathematics, the book is a one-stop reference on the results and research activities of set partitions from 1500 A.D. to today. Each chapter gives historical perspectives and contrasts different approaches, including generating functions, kernel method, block decomposition method, generating tree, and Wilf equivalences. Methods and definitions are illustrated with worked examples and MapleTM code. End-of-chapter problems often draw on data from published papers and the author’s extensive research in this field. The text also explores research directions that extend the results discussed. C++ programs and output tables are listed in the appendices and available for download on the author’s web page.



Number Theory In The Spirit Of Ramanujan


Number Theory In The Spirit Of Ramanujan
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Author : Bruce C. Berndt
language : en
Publisher: American Mathematical Soc.
Release Date : 2006

Number Theory In The Spirit Of Ramanujan 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 2006 with Mathematics categories.


Ramanujan is recognized as one of the great number theorists of the twentieth century. Here now is the first book to provide an introduction to his work in number theory. Most of Ramanujan's work in number theory arose out of $q$-series and theta functions. This book provides an introduction to these two important subjects and to some of the topics in number theory that are inextricably intertwined with them, including the theory of partitions, sums of squares and triangular numbers, and the Ramanujan tau function. The majority of the results discussed here are originally due to Ramanujan or were rediscovered by him. Ramanujan did not leave us proofs of the thousands of theorems he recorded in his notebooks, and so it cannot be claimed that many of the proofs given in this book are those found by Ramanujan. However, they are all in the spirit of his mathematics. The subjects examined in this book have a rich history dating back to Euler and Jacobi, and they continue to be focal points of contemporary mathematical research. Therefore, at the end of each of the seven chapters, Berndt discusses the results established in the chapter and places them in both historical and contemporary contexts. The book is suitable for advanced undergraduates and beginning graduate students interested in number theory.



Analytic Number Theory Modular Forms And Q Hypergeometric Series


Analytic Number Theory Modular Forms And Q Hypergeometric Series
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Author : George E. Andrews
language : en
Publisher: Springer
Release Date : 2018-02-01

Analytic Number Theory Modular Forms And Q Hypergeometric Series written by George E. Andrews and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-01 with Mathematics categories.


Gathered from the 2016 Gainesville Number Theory Conference honoring Krishna Alladi on his 60th birthday, these proceedings present recent research in number theory. Extensive and detailed, this volume features 40 articles by leading researchers on topics in analytic number theory, probabilistic number theory, irrationality and transcendence, Diophantine analysis, partitions, basic hypergeometric series, and modular forms. Readers will also find detailed discussions of several aspects of the path-breaking work of Srinivasa Ramanujan and its influence on current research. Many of the papers were motivated by Alladi's own research on partitions and q-series as well as his earlier work in number theory. Alladi is well known for his contributions in number theory and mathematics. His research interests include combinatorics, discrete mathematics, sieve methods, probabilistic and analytic number theory, Diophantine approximations, partitions and q-series identities. Graduate students and researchers will find this volume a valuable resource on new developments in various aspects of number theory.



An Introduction To The Theory Of Numbers


An Introduction To The Theory Of Numbers
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Author : Leo Moser
language : en
Publisher: The Trillia Group
Release Date : 2004

An Introduction To The Theory Of Numbers written by Leo Moser and has been published by The Trillia Group this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.


"This book, which presupposes familiarity only with the most elementary concepts of arithmetic (divisibility properties, greatest common divisor, etc.), is an expanded version of a series of lectures for graduate students on elementary number theory. Topics include: Compositions and Partitions; Arithmetic Functions; Distribution of Primes; Irrational Numbers; Congruences; Diophantine Equations; Combinatorial Number Theory; and Geometry of Numbers. Three sections of problems (which include exercises as well as unsolved problems) complete the text."--Publisher's description



The Unity Of Mathematics


The Unity Of Mathematics
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Author : Pavel Etingof
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-05-31

The Unity Of Mathematics written by Pavel Etingof and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-31 with Mathematics categories.


Tribute to the vision and legacy of Israel Moiseevich Gel'fand Written by leading mathematicians, these invited papers reflect the unity of mathematics as a whole, with particular emphasis on the many connections among the fields of geometry, physics, and representation theory Topics include conformal field theory, K-theory, noncommutative geometry, gauge theory, representations of infinite-dimensional Lie algebras, and various aspects of the Langlands program