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pro vyhledávání: '"Sarma, Rishabh"'
Autor:
Garvan, F. G., Sarma, Rishabh
We give combinatorial interpretations of two residual cranks of overpartitions defined by Bringmann, Lovejoy and Osburn in 2009 analogous to the crank of partitions given by Andrews and Garvan in 1988. As a consequence, we improve upon their definiti
Externí odkaz:
http://arxiv.org/abs/2406.12049
Autor:
Lovejoy, Jeremy, Sarma, Rishabh
In the first part of this paper we prove a conjecture of Hikami on the values of the radial limits of a family of $q$-hypergeometric false theta functions. Hikami conjectured that the radial limits are obtained by evaluating a truncated version of th
Externí odkaz:
http://arxiv.org/abs/2402.11529
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:
http://arxiv.org/abs/2301.10991
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:
http://arxiv.org/abs/2301.08960
Publikováno v:
Journal of Integer Sequences, Vol. 26 (2023), Article 23.3.7
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. By considering the special cases $p_{k,k}(n)$ and $p_{2k,k}(n)$, they unearthed connections to the
Externí odkaz:
http://arxiv.org/abs/2201.05997
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:
http://arxiv.org/abs/1812.01453
Akademický článek
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Autor:
Dey, Rukmini1 (AUTHOR) rukmini@icts.res.in, Sarma, Rishabh2 (AUTHOR), Singh, Rahul Kumar3 (AUTHOR) rahulks@iitp.ac.in
Publikováno v:
Proceedings of the Indian Academy of Sciences: Mathematical Sciences. 2020, Vol. 130 Issue 1, p1-19. 19p.
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
Akademický článek
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