Results 51 to 60 of about 505,867 (109)
Partition theorems related to the Rogers-Ramanujan identities [PDF]
, 1967 In this paper a partition theorem is proved which contains the Rogers-Ramanujan identities and Euler's partition theorem as special cases.
Andrews, George E.
core +1 more source
Rogers-Ramanujan-Slater Type Identities [PDF]
, 2008 In this survey article, we present an expanded version of Lucy Slater\u27s famous list of identities of the Rogers-Ramanujan type, including identities of similar type, which were discovered after the publication of Slater\u27s papers, and older ...
Zimmer, Peter +3 more
core
An invitation to the Rogers-Ramanujan identities
, 2017 Book Summary: 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
Sills, Andrew V. +2 more
core +1 more source
An easy proof of the Rogers-Ramanujan identities [PDF]
, 1983 A proof of the Rogers-Ramanujan identities is presented which is brief, elementary, and well motivated; the “easy” proof of whose existence Hardy and Wright had despaired.
Bressoud, D.M.
core +1 more source
$q$-Bessel functions and Rogers-Ramanujan type identities
, 2018 We evaluate q-Bessel functions at an infinite sequence of points and introduce a generalization of the Ramanujan function and give an extension of the m-version of the Rogers-Ramanujan identities.
Zhang, Ruiming +3 more
core +1 more source
Tribasic Integrals And Identities Of Rogers-Ramanujan Type
, 2003 Some integrals involving three bases are evaluated as infinite products using complex analysis. Many special cases of these integrals may be evaluated in another way to find infinite sum representations for these infinite products.
Ismail, M. E.H., Stanton, D.
core +2 more sources
Dedekind's eta-function and Rogers-Ramanujan identities
, 2012 We prove a q-series identity that generalizes Macdonald's A η-function identity and the Rogers-Ramanujan identities.
Warnaar, S. Ole, Zudilin, Wadim
core +1 more source
Some More Identities of Rogers-Ramanujan Type [PDF]
, 2009 In this we paper we prove several new identities of the Rogers-Ramanujan-Slater type. These identities were found as the result of computer searches. The proofs involve a variety of techniques, including series-series identities, Bailey pairs, a theorem ...
Bowman, Douglas +2 more
core +1 more source
New Proofs of Some Double Sum Rogers-Ramanujan Type Identities [PDF]
, 2022 Recently, Rosengren utilized an integral method to prove a number of conjectural identities found by Kanade and Russell. Using this integral method, we give new proofs to some double sum identities of Rogers-Ramanujan type.
Wang, Liuquan
core
Rogers-Ramanujan Type Identities Involving Double Sums
We prove four new Rogers-Ramanujan-type identities for double series. They follow from the classical Rogers-Ramanujan identities using the constant term method and properties of Rogers-Szegő polynomials.We are grateful to the referees and the editors for
Chen, Dandan, Yin, Siyu
core +1 more source