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A three variable identity connected with Dedekind sums

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References

  1. T. Apostol, Generalized Dedekind Sums and the Transformation Formulae of Certain Lambert Series,Duke Math. J. 17 (1950), 147–157.

    Google Scholar 

  2. T. Apostol, Theorems on Generalized Dedekind Sums,Pacific J. Math. 2 (1952), 1–9.

    Google Scholar 

  3. P. Barkan, Sur les Sommes de Dedekind et les Fraction Continues Finies,C. R. Acad. Sci. Paris Sér. A-B284 (1977) no. 16, A923-A926.

    Google Scholar 

  4. J. Franel, Les suites de Farey et le problème des nombres premiers.Göttinger Nachrichten (1924), 198–201.

  5. G.R.H. Greaves, R.R. Hall, M. Huxley andJ. Wilson, Multiple Franel Integrals,Mathematika 40, (1993), 50–69.

    Google Scholar 

  6. R.R. Hall andJ.C. Wilson, On reciprocity formulae for inhomogeneous and homogeneous Dedekind sums,Math. Proc. Cambridge Philos. Soc. 114 (1993), 9–24.

    Google Scholar 

  7. H. Rademacher, Generalization of the Reciprocity Formula for Dedekind Sums,Duke Math. J. 21 (1954), 391–397.

    Google Scholar 

  8. H. Rademacher andE. Grosswald,Dedekind Sums, Carus Math. Monographs, 16.

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Hall, R.R., Huxley, M.N. & Wilson, J.C. A three variable identity connected with Dedekind sums. Period Math Hung 30, 189–203 (1995). https://doi.org/10.1007/BF01876618

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  • DOI: https://doi.org/10.1007/BF01876618

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