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.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…

Diophantine tuples and Integral Ideals of Q(d​)

Infinitely Many Counter Examples of a Conjecture of Franušić and Jadrijević

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