Dedekind sums and continued fractions

• Autorzy: R. R. Hall , M. N. Huxley
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1993
• Tom: 63
• Numer: 1
• Strony: 79-90

Daty

wydano

1993

otrzymano

1992-03-20

poprawiono

1992-07-13

Twórcy

autor

R. R. Hall

• Department of Mathematics, University of York, York YO1 5DD, England

autor

M. N. Huxley

• School of Mathematics, University of Wales College of Cardiff, Cardiff CF2 4AG, Wales

Bibliografia

• [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.