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An Invitation to the Rogers-Ramanujan Identities

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Release : 2017-10-16
Genre : Mathematics
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Book Rating : 962/5 ( reviews)

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Book Synopsis An Invitation to the Rogers-Ramanujan Identities by : Andrew V. Sills

Download or read book An Invitation to the Rogers-Ramanujan Identities written by Andrew V. Sills. This book was released on 2017-10-16. Available in PDF, EPUB and Kindle. Book excerpt: The Rogers--Ramanujan identities are a pair of infinite series—infinite product identities that were first discovered in 1894. Over the past several decades these identities, and identities of similar type, have found applications in number theory, combinatorics, Lie algebra and vertex operator algebra theory, physics (especially statistical mechanics), and computer science (especially algorithmic proof theory). Presented in a coherant and clear way, this will be the first book entirely devoted to the Rogers—Ramanujan identities and will include related historical material that is unavailable elsewhere.

An Invitation to Q-series

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Release : 2011
Genre : Mathematics
Kind : eBook
Book Rating : 846/5 ( reviews)

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Book Synopsis An Invitation to Q-series by : Hei-Chi Chan

Download or read book An Invitation to Q-series written by Hei-Chi Chan. This book was released on 2011. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this lecture notes is to provide a self-contained exposition of several fascinating formulas discovered by Srinivasa Ramanujan. Two central results in these notes are: (1) the evaluation of the Rogers–Ramanujan continued fraction — a result that convinced G H Hardy that Ramanujan was a “mathematician of the highest class”, and (2) what G H Hardy called Ramanujan's “Most Beautiful Identity”. This book covers a range of related results, such as several proofs of the famous Rogers–Ramanujan identities and a detailed account of Ramanujan's congruences. It also covers a range of techniques in q-series.

A New Proof of the Rogers-Ramanujan Identities

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Release : 1928
Genre :
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Book Rating : /5 ( reviews)

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Book Synopsis A New Proof of the Rogers-Ramanujan Identities by : George Neville Watson

Download or read book A New Proof of the Rogers-Ramanujan Identities written by George Neville Watson. This book was released on 1928. Available in PDF, EPUB and Kindle. Book excerpt:

Invitation To Q-series, An: From Jacobi's Triple Product Identity To Ramanujan's "Most Beautiful Identity"

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Release : 2011-04-04
Genre : Mathematics
Kind : eBook
Book Rating : 583/5 ( reviews)

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Book Synopsis Invitation To Q-series, An: From Jacobi's Triple Product Identity To Ramanujan's "Most Beautiful Identity" by : Hei-chi Chan

Download or read book Invitation To Q-series, An: From Jacobi's Triple Product Identity To Ramanujan's "Most Beautiful Identity" written by Hei-chi Chan. This book was released on 2011-04-04. Available in PDF, EPUB and Kindle. Book excerpt: The aim of these lecture notes is to provide a self-contained exposition of several fascinating formulas discovered by Srinivasa Ramanujan. Two central results in these notes are: (1) the evaluation of the Rogers-Ramanujan continued fraction — a result that convinced G H Hardy that Ramanujan was a “mathematician of the highest class”, and (2) what G. H. Hardy called Ramanujan's “Most Beautiful Identity”. This book covers a range of related results, such as several proofs of the famous Rogers-Ramanujan identities and a detailed account of Ramanujan's congruences. It also covers a range of techniques in q-series.

Analytic And Combinatorial Number Theory: The Legacy Of Ramanujan - Contributions In Honor Of Bruce C. Berndt

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Release : 2024-08-19
Genre : Mathematics
Kind : eBook
Book Rating : 389/5 ( reviews)

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Book Synopsis Analytic And Combinatorial Number Theory: The Legacy Of Ramanujan - Contributions In Honor Of Bruce C. Berndt by : George E Andrews

Download or read book Analytic And Combinatorial Number Theory: The Legacy Of Ramanujan - Contributions In Honor Of Bruce C. Berndt written by George E Andrews. This book was released on 2024-08-19. Available in PDF, EPUB and Kindle. Book excerpt: This volume reflects the contributions stemming from the conference Analytic and Combinatorial Number Theory: The Legacy of Ramanujan which took place at the University of Illinois at Urbana-Champaign on June 6-9, 2019. The conference included 26 plenary talks, 71 contributed talks, and 170 participants. As was the case for the conference, this book is in honor of Bruce C Berndt and in celebration of his mathematics and his 80th birthday.Along with a number of papers previously appearing in Special Issues of the International Journal of Number Theory, the book collects together a few more papers, a biography of Bruce by Atul Dixit and Ae Ja Yee, a preface by George Andrews, a gallery of photos from the conference, a number of speeches from the conference banquet, the conference poster, a list of Bruce's publications at the time this volume was created, and a list of the talks from the conference.

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