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20112023
most citedGeneralized -locality inequalities in linear-chain network for arbitrary inputs scenario and their quantum violations

7 citations · 18 across the 21 of their papers we have counts for

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22 papers

quant-ph2023★ 4 cited

Sharing nonlocality in a network using the quantum violation of chain network inequality

Rahul Kumar, A. K. Pan

Based on the quantum violation of suitable -local inequality in a star network for arbitrary inputs, we demonstrate the sharing of nonlocality in the network. Such a network…

math.NT2023★ 1 cited

A note on odd zeta values over any number field and Extended Eisenstein series

Soumyarup Banerjee, Rajat Gupta, Rahul Kumar

In this article, we have studied transformation formulas of zeta function at odd integers over an arbitrary number field which in turn generalizes Ramanujan's identity for the Riem…

quant-ph2022★ 7 cited

Generalized -locality inequalities in linear-chain network for arbitrary inputs scenario and their quantum violations

Rahul Kumar, A. K. Pan

Multipartite nonlocality in a network is conceptually different from standard multipartite Bell nonlocality. In recent times, network nonlocality has been studied for various topol…

math.CV2022

Counterexamples to Bloch's Principle and its Converse in Several Complex Variables

Kuldeep Singh Charak, Rahul Kumar

In this paper, besides a counterexample to Bloch's principle, normality criteria leading to counterexamples to the converse of Bloch's principle in several complex variables are pr…

math.NT2021

Equivalent criterion for the grand Riemann hypothesis associated to Maass cusp forms

Soumyarup Banerjee, Rahul Kumar

In this article, we obtain transformation formulas analogous to the identity of Ramanujan, Hardy and Littlewood in the setting of primitive Maass cusp form over the congruence subg…

math.NT2021★ 1 cited

Extended higher Herglotz functions I. Functional equations

Atul Dixit, Rajat Gupta, Rahul Kumar

In 1975, Don Zagier obtained a new version of the Kronecker limit formula for a real quadratic field which involved an interesting function which is now known as the \emph{H…