ArticleOriginal scientific text
Title
Dedekind sums and continued fractions
Authors 1, 2
Affiliations
- Department of Mathematics, University of York, York YO1 5DD, England
- School of Mathematics, University of Wales College of Cardiff, Cardiff CF2 4AG, Wales
Bibliography
- P. Barkan, Sur les sommes de Dedekind et les fractions continues finies, C. R. Acad. Sci. Paris Sér. A 284 (1977), 923-926.
- R. W. Bruggeman, On the distribution of Dedekind sums, in: Automorphic Functions and their Applications, U.S.S.R. Acad. Sci., Khabarovsk 1990, 82-89.
- R. W. Bruggeman, Eisenstein series and the distribution of Dedekind sums, to appear.
- R. Dedekind, Erläuterung zu den Fragmenten xxviii, in: Bernhard Riemanns gesammelte mathematische Werke, Dover, New York 1953.
- D. Hickerson, Continued fractions and density results for Dedekind sums, J. Reine Angew. Math. 290 (1977), 113-116.
- D. E. Knuth, Notes on generalized Dedekind sums, Acta Arith. 33 (1977), 297-325.
- G. Myerson, Dedekind sums and uniform distribution, J. Number Theory 28 (1988), 233-239.
- H. Rademacher, Dedekind Sums (E. Grosswald, ed.), Carus Math. Monographs, 1972.
- I. Vardi, A relation between Dedekind sums and Kloosterman sums, Duke Math. J. 55 (1987), 189-197.