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

Atul Dixit, Rajat Gupta, Rahul Kumar +1

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