Wake Forest University

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19942026

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math.NT2019

The number of representations of $n$ as a growing number of squares

John Holley-Reid, Jeremy Rouse

Let $r_{k} (n)$ denote the number of representations of the integer $n$ as a sum of $k$ squares. In this paper, we give an asymptotic for $r_{k} (n)$ when $n$ grows linearly with $k$ …

math.NT2019★ 10 cited

Torsion points and isogenies on CM elliptic curves

Abbey Bourdon, Pete L. Clark

Let $O$ be an order in the imaginary quadratic field $K$ . For positive integers $M ∣ N$ , we determine the least degree of an $O$ -CM point on the modular curv…

The number of representations of n as a growing number of squares

Torsion points and isogenies on CM elliptic curves

The number of representations of $n$ as a growing number of squares