Invitation to the Rogers-Ramanujan identities
- Boca Raton : CRC Press, 2018
- xx, 233 p.; ill., 25 cm
Includes bibliographical references and index.
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 clearly and coherently, An Invitation to the Rogers-Ramanujan Identities is the first book entirely devoted to the Rogers-Ramanujan identities and includes related historical material that is unavailable elsewhere.
9781498745253
Infinite Products Infinite Series Rogers-Ramanujan identities Combinatonics Number theory Andrews,George Bailey pair Binomial theorem Dyson mod Euler's partition theorem False theta function Gauss'hexagonal numbers theoem Hypergeometric series Jacobi symbol Parrtition function Schur'smod