Continued fractions and Dedekind sums: three-term relations and distribution

DOI10.1016/j.jnt.2005.10.005zbMath1225.11054OpenAlexW2081787900MaRDI QIDQ852544

Kurt Girstmair

Publication date: 15 November 2006

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2005.10.005

zbMATH Keywords

asymptotic distributionDedekind sumcontinued fractionthree-term relation

Mathematics Subject Classification ID

Continued fractions (11A55) Dedekind eta function, Dedekind sums (11F20)

Related Items (3)

Explicit and asymptotic formulae for Vasyunin-cotangent sums ⋮ Modular factorization of superconformal indices ⋮ Arrangements of curves and algebraic surfaces

Cites Work

• Beziehungen zwischen Dedekindschen Summen
• Über die Teilnenner endlicher Kettenbrueche
• Toric varieties, lattice points and Dedekind sums
• Notes on generalized Dedekind sums
• Continued fractions and density results for Dedekind sums.
• Dedekind sums with predictable signs
• Zones of large and small values for Dedekind sums
• On the arithmetic mean of Dedekind sums
• Introduction to number theory
• A note on the mean square value of the Dedekind sums
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