Uniform Distribution of Hardy Sums

2022/07/11 by Lägeler, Alessandro
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2207.04828

Abstract

We employ the spectral theory of Eisenstein series to prove that the Hardy sums, integer-valued analogs of the classical Dedekind sums, are uniformly distributed in Z / m Z for any integer m > 1.

Related

• On the distribution of Dedekind sums
• Fractional parts of Dedekind sums
• Continued Fractions and Hardy Sums
• Uniform distribution of subpolynomial functions along primes and applications
• Weighted uniform distribution of subpolynomial functions along primes and applications