A Novel Summation Formula for the Hurwitz-Kronecker Class Number

2025/09/10 by Yi-Ju Tsai, Tsai, Yi-Ju · 1 voice
Mathematics · #FOS: Mathematics #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.2509.08281

Abstract

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: ∑_t²<p H_w(t²-p) = (p-2)/(3).

Discussions

• A Novel Summation Formula for the Hurwitz-Kronecker Class Number - By arXiv:2509.08281v1 https://arxiv.org/abs/2509.08281 This paper introduces a slick new summation formula for the Kronecker-Hurwitz [bsky, 0 points, 0 comments]

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