Fractional parts of Dedekind sums

DOI10.1142/S179304211650069XzbMath1419.11072arXiv1411.1820OpenAlexW2964208987MaRDI QIDQ2810665

William D. Banks, Igor E. Shparlinski

Publication date: 3 June 2016

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.1820

zbMATH Keywords

exponential sumsDedekind sumsuniform distributionKloosterman fractions

Mathematics Subject Classification ID

Gauss and Kloosterman sums; generalizations (11L05) Dedekind eta function, Dedekind sums (11F20) Estimates on character sums (11L40) Distribution modulo one (11J71)

Related Items

Trilinear forms with Kloosterman fractions, Bounds of trilinear sums with Kloosterman fractions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sequences, discrepancies and applications
• Trilinear forms with Kloosterman fractions
• On Dedekind sums with equal values
• On the fractional parts of Dedekind sums
• Equality of Dedekind sums mod ℤ, 2ℤ and 4ℤ
• WHEN ARE TWO DEDEKIND SUMS EQUAL?
• Continued fractions and density results for Dedekind sums.
• A CRITERION FOR THE EQUALITY OF DEDEKIND SUMS MOD ℤ
• Shorter Notes: On Some Products Involving Primes