On the Dedekind Sums and the Quadratic Gauss Sums FULL TEXT

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References

1. Apostol, T. M. Modular Functions and Dirichlet Series in Number Theory (Springer-Verlag, New York, 1976).
2. Carlitz, L. The reciprocity theorem of Dedekind sums, Pacific J. Math. 3, 513–522, 1953.
3. Chaohua, J. On the mean value of Dedekind sums, Journal of Number Theory 87, 173–188, 2001.
4. Conrey, J. B., Fransen, E., Klein, R. and Scott, C. Mean values of Dedekind sums, Journal of Number Theory 56, 214–226, 1996.
5. Rademacher, H. Dedekind Sums (Carus Mathematical Monographs, Math. Assoc. Amer., Washington D.C., 1972).
6. Rademacher, H. On the transformation of log η(τ ), J. Indian Math. Soc. 19, 25–30, 1955.
7. Wenpeng, Z. A note on the mean square value of the Dedekind sums, Acta Mathematica Hungarica 86, 275–289, 2000.
8. 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.

9. Wenpeng, Z. On the mean values of Dedekind sums, Journal de Th´eorie des Nombres de Bordeaux 8, 429–442, 1996.