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pro vyhledávání: '"Sarma, Rishabh"'
Autor:
Garvan, F. G., Sarma, Rishabh
At the 1987 Ramanujan Centenary meeting Dyson asked for a coherent group-theoretical structure for Ramanujan's mock theta functions analogous to Hecke's theory of modular forms. Many of Ramanujan's mock theta functions can be written in terms of $R(\
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::91ae85c7a985737f8666b26200795e2c
Autor:
Sarma, Rishabh
Let $R(z,q)$ be the two-variable generating function of Dyson's rank function. In a recent joint work with Frank Garvan, we investigated the transformation of the elements of the $p$-dissection of $R(\zeta_p,q)$, where $\zeta_p$ is a primitive $p$-th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8d054291485607eab8517aa7f4016718
In a recent pioneering work, Andrews and Newman defined an extended function $p_{A,a}(n)$ of their minimal excludant or "mex" of a partition function and by considering the cases $p_{k,k}(n)$ and $p_{2k,k}(n)$, they unearthed connections to the rank
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c389716015ac1917e8b4729da373d899
In this paper, we rewrite two forms of an Euler-Ramanujan identity in terms of certain Dirichlet series and derive functional equation of the latter. We also use the Weierstrass-Enneper representation of minimal surfaces to obtain some identities inv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::36d33eb813d73f64e2167c3237c48540