Abstract
We will give a new proof for the fact that the values of Dedekind sums are dense on the real line.
Similar content being viewed by others
References
Apostol, T.M.: Modular Functions and Dirichlet Series in Number Theory. Graduate Texts in Mathematics, vol. 41. Springer, New York (1976)
Burrin, C.: Generalized Dedekind sums and equidistribution mod 1. ETH Zürich, Preprint (2016)
Conrey, J.B., Franson, E., Klein, R., Scott, C.: Mean values of Dedekind sums. J. Number Theory 56, 214–226 (1996)
Girstmair, K.: Dedekind sums with predictable signs. Acta Arith. 83, 283–294 (1998)
Girstmair, K.: Approximation of rational numbers by Dedekind sums. Int. J. Number Theory 10(5), 1241–1244 (2014)
Girstmair, K.: On Dedekind sums with equal values. Int. J. Number Theory 12(2), 473–481 (2016)
Hickerson, D.: Continued fractions and density for Dedekind sums. J. Reine Angew. Math. 290, 113–116 (1977)
Rademacher, H., Grosswald, E.: Dedekind Sums. Mathematics Association of America, Washington, DC (1972)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Kohnen, W. A short note on Dedekind sums. Ramanujan J 45, 491–495 (2018). https://doi.org/10.1007/s11139-016-9851-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11139-016-9851-8