23 citations · 35 across the 50 of their papers we have counts for
6 papers · 1 filter
Some identities of the sums-of-tails type
Atul Dixit, Gaurav Kumar, Aviral Srivastava
A new sums-of-tails identity involving two parameters and is obtained and is used to derive more results of similar type. One of Ramanujan's sums-of-tails identities from t…
Non-Rascoe partitions and a rank parity function associated to the Rogers-Ramanujan partitions
Atul Dixit, Gaurav Kumar, Aviral Srivastava
We study the generating function of the excess number of Rogers-Ramanujan partitions with odd rank over those with even rank, and, using combinatorial and analytical techniques, sh…
Combinatorial identities associated with a bivariate generating function for overpartition pairs
Atul Dixit, Ankush Goswami
We obtain a three-parameter -series identity that generalizes two results of Chan and Mao. By specializing our identity, we derive new results of combinatorial significance in c…
Generalizations of the Andrews-Yee identities associated with the mock theta functions and
Bruce C. Berndt, Atul Dixit, Rajat Gupta
George Andrews and Ae Ja Yee recently established beautiful results involving bivariate generalizations of the third order mock theta functions and , thereby extending…
A simple proof of a congruence for a series involving the little -Jacobi polynomials
Atul Dixit
We give a simple and a more explicit proof of a mod congruence for a series involving the little -Jacobi polynomials which arose in a recent study of a certain restricted ov…
Partition implications of a new three parameter -series identity
Atul Dixit, Bibekananda Maji
A generalization of a beautiful -series identity found in the unorganized portion of Ramanujan's second and third notebooks is obtained. As a consequence, we derive a new three-…