A proof of Spence's formula using the reciprocity law for Dedekind sums
Abstract
In 1963, Edward Spence published a proof of the following With $ϕ$ being Euler totient function, if $n>1$ is an integer, and if \begin{equation*} 0
Fields of Study & Subjects
Analytic Number Theory Research
Advanced Mathematical Identities
Advanced Combinatorial Mathematics
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 28 January 2026
- Document type
- Preprint