Results 81 to 90 of about 427 (155)

Rogers-Ramanujan Type Identities Involving Double Sums

open access: yesSymmetry, Integrability and Geometry: Methods and Applications
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.
Chen, Dandan, Yin, Siyu
openaire   +3 more sources

A generalization of Ramanujan's sum over finite groups [PDF]

open access: green
Monu Kadyan   +2 more
openalex   +1 more source

On Ramanujan's definition of mock theta function. [PDF]

open access: yesProc Natl Acad Sci U S A, 2013
Rhoades RC.
europepmc   +1 more source

An algebraic generalization of the Ramanujan sum

open access: yesThe Ramanujan Journal
Ramanujan sums have attracted significant attention in both mathematical and engineering disciplines due to their diverse applications. In this paper, we introduce an algebraic generalization of Ramanujan sums, derived through polynomial remaindering. This generalization is motivated by its applications in Restricted Partition Theory and Coding Theory.
openaire   +3 more sources

Ramanujan's mock theta functions. [PDF]

open access: yesProc Natl Acad Sci U S A, 2013
Griffin M, Ono K, Rolen L.
europepmc   +1 more source

Holomorphic projections and Ramanujan's mock theta functions. [PDF]

open access: yesProc Natl Acad Sci U S A, 2014
Imamoğlu Ö, Raum M, Richter OK.
europepmc   +1 more source

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