Neha Gupta

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math.NT2025

A Unified Approach to Calculating Sylvester Sums

Neha Gupta, Manoj Upreti

In the context of the Frobenius coin problem, given two relatively prime positive integers $a$ and $b$ , the set of nonrepresentable numbers consists of positive integers that canno…

math.NT2024

Frobenius numbers associated with Diophantine triples of $x^{2} + y^{2} = z^{r}$ (extended version)

Takao Komatsu, Neha Gupta, Manoj Upreti

We give an explicit formula for the $p$ -Frobenius number of triples associated with Diophantine equations $x^{2} + y^{2} = z^{r}$ , that is, the largest positive integer that can only be repr…

A Unified Approach to Calculating Sylvester Sums

Frobenius numbers associated with Diophantine triples of x2+y2=zr (extended version)

Frobenius numbers associated with Diophantine triples of $x^{2} + y^{2} = z^{r}$ (extended version)