An Invitation to the Rogers-Ramanujan Identities

Nonfiction, Science & Nature, Mathematics, Combinatorics, Number Theory
Cover of the book An Invitation to the Rogers-Ramanujan Identities by Andrew V. Sills, CRC Press
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Author: Andrew V. Sills ISBN: 9781351647960
Publisher: CRC Press Publication: October 16, 2017
Imprint: Chapman and Hall/CRC Language: English
Author: Andrew V. Sills
ISBN: 9781351647960
Publisher: CRC Press
Publication: October 16, 2017
Imprint: Chapman and Hall/CRC
Language: English

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.

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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.

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