Shubham Gupta

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20222026

most citedRearrangement Inequalities on the Lattice Graph

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

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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…

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

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