Shubham Gupta

most citedHardy and Rellich inequality on lattices

7 citations · 9 across the 3 of their papers we have counts for

collaborators

3 papers

math.FA2022★ 7 cited

Hardy and Rellich inequality on lattices

Shubham Gupta

In this paper, we study the asymptotic behaviour of the sharp constant in discrete Hardy and Rellich inequality on the lattice $Z^{d}$ as $d \to \infty$ . In the proc…

math.FA2022★ 2 cited

Symmetrization inequalities on one-dimensional integer lattice

Shubham Gupta

In this paper, we develop a theory of symmetrization on the one dimensional integer lattice. More precisely, we associate a radially decreasing function $u^{*}$ with a function $u$ d…

math.NT2020

Certain Diophantine Tuples in Imaginary Quadratic Fields

Shubham Gupta

Let $K$ be an imaginary quadratic field and $O_{K}$ be its ring of integers. A set ${a_{1}, a_{2}, \dots, a_{m}} \subset O_{K} ∖ {0}$ is called a Diophantine $…