Shuntaro Yamagishi

most citedIntegral solutions to systems of diagonal equations

1 citations · 1 across the 2 of their papers we have counts for

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2 papers

math.NT2024

On the existence of magic squares of powers

Nick Rome, Shuntaro Yamagishi

For any $d \geq 2$ , we prove that there exists an integer $n_{0} (d)$ such that there exists an $n \times n$ magic square of $d^{th}$ powers for all $n \geq n_{0} (d)$ . In particula…

math.NT2024★ 1 cited

Integral solutions to systems of diagonal equations

Nick Rome, Shuntaro Yamagishi

In this paper, we obtain an asymptotic formula for the number of integral solutions to a system of diagonal equations. We obtain an asymptotic formula for the number of solutions w…