On the hybrid mean value of Dedekind sums and Hurwitz zeta-function

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Dedekind sums, Hurwitz zeta-function, the hybrid mean value

T. M. Apostol, Introduction to Analytic Number Theory, Springer, New York, 1976.
T. M. Apostol, Modular Functions and Dirichlet Series in Number Theory, Springer, New York, 1976.
L. Carlitz, The reciprocity theorem of Dedekind sums, Pacific J. Math. 3 (1953), 513-522.
J. B. Conrey, E. Fransen, R. Klein and C. Scott, Mean values of Dedekind sums, J. Number Theory 56 (1996), 214-226.
L. J. Mordell, The reciprocity formula for Dedekind sums, Amer. J. Math. 73 (1951), 593-598.
H. Rademacher, On the transformation of log η(τ), J. Indian Math. Soc. 19 (1955), 25-30.
H. Rademacher, Dedekind Sums, Carus Math. Monographs, Math. Assoc. Amer., Washington, DC, 1972.
H. Walum, An exact formula for an average of L-series, Illinois J. Math. 26 (1982), 1-3.
W. P. Zhang, On the mean values of Dedekind sums, J. Théor. Nombres Bordeaux 8 (1996), 429-442.