A Novel Summation Formula for the Hurwitz-Kronecker Class Number
The purpose of this paper is to present a novel and elegant summation formula for $H_w$, the Kronecker-Hurwitz class number. Specifically, for any prime $p$, we have the formula: $$ \sum_{t^2<p} H_w(t^2-p) = \frac{p-2}{3}. $$
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