Published articles
A modular relation involving non-trivial zeros of the Dedekind zeta function and the Generalized Riemann Hypothesis (with A. Dixit and A. Vatwani), J. Math. Anal.Appl., 515 (2022), 126435.
Riesz type criteria for L-functions in the Selberg class (with A. Vatwani), Canadian Journal of Mathematics, 29-May (2023), pp.1-27.
Explicit transformations of generalized Lambert series associated with the divisor function σ(N)a(n) and their applications (with A. Dixit and S. Banerjee), Res. Math. Sci.10(2023), no.4, Paper No. 38.
Lambert series of logarithm, the derivative of Deninger’s function R(z) and a mean value theorem for ζ(1/2−it)ζ′(1/2+it), (with A. Dixit and S. Banerjee), Canadian Journal of Mathematics, 11-October (2023), pp.1-36.
Submitted/Ongoing
Generalized Lambert series of logarithm in terms of generalized Digamma function and their applications (with A. Dixit and S. Banerjee), in preparation.
Generalization of Parseval's Identity (with Habibur Rahman), in preparation.