Atul Dixit

activity

20092026

most citedGeneralized Lambert series and arithmetic nature of odd zeta values

23 citations · 35 across the 50 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.NT2018★ 1 cited

Untrodden pathways in the theory of the restricted partition function $p (n, N)$

Atul Dixit, Pramod Eyyunni, Bibekananda Maji +1

We obtain a finite analogue of a recent generalization of an identity in Ramanujan's Notebooks. Differentiating it with respect to one of the parameters leads to a result whose lim…

math.CO2018★ 2 cited

Partition implications of a new three parameter $q$ -series identity

Atul Dixit, Bibekananda Maji

A generalization of a beautiful $q$ -series identity found in the unorganized portion of Ramanujan's second and third notebooks is obtained. As a consequence, we derive a new three-…

math.NT2018★ 1 cited

Generalized Lambert series, Raabe's integral and a two-parameter generalization of Ramanujan's formula for $ζ (2 m + 1)$

Atul Dixit, Rajat Gupta, Rahul Kumar +1

A comprehensive study of the generalized Lambert series $n = 1 \sum \infty \frac{n ^{N - 2 h} exp ( - a n ^{N} x )}{1 - exp ( - n ^{N} x )}, 0 < a \leq 1, x > 0$ , $N \in N$ and…

Untrodden pathways in the theory of the restricted partition function p(n,N)

Partition implications of a new three parameter q-series identity

Generalized Lambert series, Raabe's integral and a two-parameter generalization of Ramanujan's formula for ζ(2m+1)

Untrodden pathways in the theory of the restricted partition function $p (n, N)$

Partition implications of a new three parameter $q$ -series identity

Generalized Lambert series, Raabe's integral and a two-parameter generalization of Ramanujan's formula for $ζ (2 m + 1)$