Dedekind sums and continued fractions

R. R. Hall; M. N. Huxley

Acta Arithmetica (1993)

  • Volume: 63, Issue: 1, page 79-90
  • ISSN: 0065-1036

How to cite

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R. R. Hall, and M. N. Huxley. "Dedekind sums and continued fractions." Acta Arithmetica 63.1 (1993): 79-90. <http://eudml.org/doc/206508>.

@article{R1993,
author = {R. R. Hall, M. N. Huxley},
journal = {Acta Arithmetica},
keywords = {Dedekind sums; evaluation; continued fractions; Rademacher's three-term relation},
language = {eng},
number = {1},
pages = {79-90},
title = {Dedekind sums and continued fractions},
url = {http://eudml.org/doc/206508},
volume = {63},
year = {1993},
}

TY - JOUR
AU - R. R. Hall
AU - M. N. Huxley
TI - Dedekind sums and continued fractions
JO - Acta Arithmetica
PY - 1993
VL - 63
IS - 1
SP - 79
EP - 90
LA - eng
KW - Dedekind sums; evaluation; continued fractions; Rademacher's three-term relation
UR - http://eudml.org/doc/206508
ER -

References

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  1. [1] P. Barkan, Sur les sommes de Dedekind et les fractions continues finies, C. R. Acad. Sci. Paris Sér. A 284 (1977), 923-926. Zbl0347.10007
  2. [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. Zbl0742.11024
  3. [3] R. W. Bruggeman, Eisenstein series and the distribution of Dedekind sums, to appear. Zbl0655.10026
  4. [4] R. Dedekind, Erläuterung zu den Fragmenten xxviii, in: Bernhard Riemanns gesammelte mathematische Werke, Dover, New York 1953. 
  5. [5] D. Hickerson, Continued fractions and density results for Dedekind sums, J. Reine Angew. Math. 290 (1977), 113-116. Zbl0341.10012
  6. [6] D. E. Knuth, Notes on generalized Dedekind sums, Acta Arith. 33 (1977), 297-325. Zbl0326.10007
  7. [7] G. Myerson, Dedekind sums and uniform distribution, J. Number Theory 28 (1988), 233-239. Zbl0635.10033
  8. [8] H. Rademacher, Dedekind Sums (E. Grosswald, ed.), Carus Math. Monographs, 1972. 
  9. [9] I. Vardi, A relation between Dedekind sums and Kloosterman sums, Duke Math. J. 55 (1987), 189-197. Zbl0623.10025

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