Rahul Kumar

most citedGeneralized Lambert series, Raabe's integral and a two-parameter generalization of Ramanujan's formula for

ζ (2 m + 1)

1 citations · 1 across the 2 of their papers we have counts for

collaborators

2 papers

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…

math.NT2017

Zeros of combinations of the Riemann $Ξ$ -function and the confluent hypergeometric function on bounded vertical shifts

Atul Dixit, Rahul Kumar, Bibekananda Maji +1

In 1914, Hardy proved that infinitely many non-trivial zeros of the Riemann zeta function lie on the critical line using the transformation formula of the Jacobi theta function. Re…

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

Zeros of combinations of the Riemann Ξ-function and the confluent hypergeometric function on bounded vertical shifts

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

Zeros of combinations of the Riemann $Ξ$ -function and the confluent hypergeometric function on bounded vertical shifts