Shubham Gupta

activity

20222026

most citedRearrangement Inequalities on the Lattice Graph

1 citations · 1 across the 7 of their papers we have counts for

collaborators

7 papers

math.NT2026

On $B^{4}$ -almost periodicity for a class of arithmetical functions

Kritika Aggarwal, Debika Banerjee, Shubham Gupta

In this paper, we establish the $B^{4}$ -almost periodicity in the sense of Besicovitch for a suitably normalized error term associated with a broad class of arithmetical fu…

math.NT2025

Diophantine tuples and Integral Ideals of $Q (d)$

Kalyan Chakraborty, Shubham Gupta, Krishnarjun Krishnamoorthy

Suppose $n$ is the fundamental discriminant associated with a quadratic extension of $Q$ . We show that for every Diophantine $m$ -tuple ${t_{1}, t_{2}, \dots, t_{m}}$ with t…

math.NT2025

Infinitely Many Counter Examples of a Conjecture of Franušić and Jadrijević

Shubham Gupta

Let $d$ be a square-free integer such that $d \equiv 15 (mod 60)$ and the Pell's equation $x^{2} - d y^{2} = - 6$ is solvable in rational integers $x$ and $y$ . In this paper, we prove t…

math.NT2023

Diophantine $D (n)$ -quadruples in $Z [4 k + 2]$

Kalyan Chakraborty, Shubham Gupta, Azizul Hoque

Let $d$ be a square-free integer and $Z [d]$ a quadratic ring of integers. For a given $n \in Z [d]$ , a set of $m$ non-zero distinct elements in $\mathb…

math.FA2022★ 1 cited

Rearrangement Inequalities on the Lattice Graph

Shubham Gupta, Stefan Steinerberger

The Polya-Szegő inequality in $R^{n}$ states that, given a non-negative function $f : R^{n} \to R$ , its spherically symmetric decreasing rearrange…

math.NT2022

On a conjecture of Franu\v sić and Jadrijevi\' c: Counter-examples

Kalyan Chakraborty, Shubham Gupta, Azizul Hoque

Let $d \equiv 2 (mod 4)$ be a square-free integer such that $x^{2} - d y^{2} = - 1$ and $x^{2} - d y^{2} = 6$ are solvable in integers. We prove the existence of infinitely many quadruples in $…

math.NT2022

Diophantine triples with the property $D (n)$ for distinct $n$

Kalyan Chakraborty, Shubham Gupta, Azizul Hoque

We prove that for every integer $n$ , there exist infinitely many $D (n)$ -triples which are also $D (t)$ -triples for $t \in Z$ with $n \neq = t$ . We also prove that there are infin…

On B4-almost periodicity for a class of arithmetical functions

Diophantine tuples and Integral Ideals of Q(d​)

Infinitely Many Counter Examples of a Conjecture of Franušić and Jadrijević

Diophantine D(n)-quadruples in Z[4k+2​]

Rearrangement Inequalities on the Lattice Graph

On a conjecture of Franu\v sić and Jadrijevi\' c: Counter-examples

Diophantine triples with the property D(n) for distinct n

On $B^{4}$ -almost periodicity for a class of arithmetical functions

Diophantine tuples and Integral Ideals of $Q (d)$

Diophantine $D (n)$ -quadruples in $Z [4 k + 2]$

Diophantine triples with the property $D (n)$ for distinct $n$