Philippe Michaud-Rodgers

most citedA Unique Perfect Power Decagonal Number

3 citations · 6 across the 2 of their papers we have counts for

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2 papers

math.NT2021★ 3 cited

A Unique Perfect Power Decagonal Number

Philippe Michaud-Rodgers

Let $P_{s} (n)$ denote the $n$ th $s$ -gonal number. We consider the equation \[\mathcal{P}_s(n) = y^m, \] for integers $n, s, y,$ and $m$ . All solutions to this equation are kn…

math.NT2020★ 3 cited

Quadratic Points on Non-Split Cartan Modular Curves

Philippe Michaud-Rodgers

In this paper we study quadratic points on the non-split Cartan modular curves $X_{n s} (p)$ , for $p = 7, 11,$ and $13$ . Recently, Siksek proved that all quadratic points on $X_{ns}(…