Elliptic curves, modular forms, and sums of Hurwitz class numbers

Brittany Brown, Neil J. Calkin, Timothy B. Flowers +3

Let H(N) denote the Hurwitz class number. It is known that if $p$ is a prime, then {equation*} \sum_{|r|<2\sqrt p}H(4p-r^2) = 2p. {equation*} In this paper, we investigate the beha…