Shiv K. Gupta

activity

20192023

collaborators

3 papers

math.NT2023

Explicit transformations for generalized Lambert series associated with the divisor function $σ_{a}^{(N)} (n)$ and their applications

Soumyarup Banerjee, Atul Dixit, Shivajee Gupta

Let $σ_{a}^{(N)} (n) = \sum_{d^{N} ∣ n} d^{a}$ . An explicit transformation is obtained for the generalized Lambert series $\sum_{n = 1}^{\infty} σ_{a}^{(N)} (n) e^{- n y}$ for Re $(a) > - 1$ using the…

math.NT2022

A modular relation involving non-trivial zeros of the Dedekind zeta function, and the Generalized Riemann Hypothesis

Atul Dixit, Shivajee Gupta, Akshaa Vatwani

We give a number field analogue of a result of Ramanujan, Hardy and Littlewood, thereby obtaining a modular relation involving the non-trivial zeros of the Dedekind zeta function.…

math.GR2019

Computation of Irreducible Characters of GL(5,q)

Shiv Gupta

In this paper we determine the ordinary irreducible characters of the five-dimensional full linear group over a Galois field of q elements. We use the techniques developed by J. A.…

Explicit transformations for generalized Lambert series associated with the divisor function σa(N)​(n) and their applications

A modular relation involving non-trivial zeros of the Dedekind zeta function, and the Generalized Riemann Hypothesis

Computation of Irreducible Characters of GL(5,q)

Explicit transformations for generalized Lambert series associated with the divisor function $σ_{a}^{(N)} (n)$ and their applications