ArticleOriginal scientific text

Title

Dedekind sums and continued fractions

Authors 1, 2

Affiliations

  1. Department of Mathematics, University of York, York YO1 5DD, England
  2. School of Mathematics, University of Wales College of Cardiff, Cardiff CF2 4AG, Wales

Bibliography

  1. P. Barkan, Sur les sommes de Dedekind et les fractions continues finies, C. R. Acad. Sci. Paris Sér. A 284 (1977), 923-926.
  2. 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.
  3. R. W. Bruggeman, Eisenstein series and the distribution of Dedekind sums, to appear.
  4. R. Dedekind, Erläuterung zu den Fragmenten xxviii, in: Bernhard Riemanns gesammelte mathematische Werke, Dover, New York 1953.
  5. D. Hickerson, Continued fractions and density results for Dedekind sums, J. Reine Angew. Math. 290 (1977), 113-116.
  6. D. E. Knuth, Notes on generalized Dedekind sums, Acta Arith. 33 (1977), 297-325.
  7. G. Myerson, Dedekind sums and uniform distribution, J. Number Theory 28 (1988), 233-239.
  8. H. Rademacher, Dedekind Sums (E. Grosswald, ed.), Carus Math. Monographs, 1972.
  9. I. Vardi, A relation between Dedekind sums and Kloosterman sums, Duke Math. J. 55 (1987), 189-197.
Pages:
79-90
Main language of publication
English
Received
1992-03-20
Accepted
1992-07-13
Published
1993
Exact and natural sciences