On the Dedekind Sums and the Quadratic Gauss Sums FULL TEXT

Year 2012, Volume: 41 Issue: 1, 77 - 83, 01.01.2012

Wang Tingting Zhang Wenpeng

Keywords

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References

• Apostol, T. M. Modular Functions and Dirichlet Series in Number Theory (Springer-Verlag, New York, 1976).
• Carlitz, L. The reciprocity theorem of Dedekind sums, Pacific J. Math. 3, 513–522, 1953.
• Chaohua, J. On the mean value of Dedekind sums, Journal of Number Theory 87, 173–188, 2001.
• Conrey, J. B., Fransen, E., Klein, R. and Scott, C. Mean values of Dedekind sums, Journal of Number Theory 56, 214–226, 1996.
• Rademacher, H. Dedekind Sums (Carus Mathematical Monographs, Math. Assoc. Amer., Washington D.C., 1972).
• Rademacher, H. On the transformation of log η(τ ), J. Indian Math. Soc. 19, 25–30, 1955.
• Wenpeng, Z. A note on the mean square value of the Dedekind sums, Acta Mathematica Hungarica 86, 275–289, 2000.
• Wenpeng, Z., Yuan, Y. and Xiali, H. On the 2k-th power mean of Dirichlet L-functions with the weight of general Kloosterman sums, Journal of Number Theory 84, 199–213, 2000.
• Wenpeng, Z. On the mean values of Dedekind sums, Journal de Th´eorie des Nombres de Bordeaux 8, 429–442, 1996.