@article{oai:nagoya.repo.nii.ac.jp:00008506,
 author = {MATSUMOTO, KOHJI and KATSURADA, MASANORI},
 journal = {Compositio Mathematica},
 month = {May},
 note = {The main object of this paper is the mean square I_h(s) of higher derivatives of Hurwitz zeta functions ζ(s,α) . We shall prove asymptotic formulas for I_h(1/2+it)as t→＋∞with the coefficients in closed expressions (Theorem 1). We also prove a certain explicit formula for I_h(1/2+it) (Theorem 2), in which the coefficients are, in a sense, not explicit. However, one merit of this formula is that it contains sufficient information for obtaining the complete asymptotic expansion for I_h(1/2+it) when h is small. Another merit is that Theorem 1 can be strengthened with the aid of Theorem 2 (see Theorem 3). The fundamental method for the proofsisis Atkinson's dissection argument applied to the product ζ(u,α)ζ(v,α) with the independent complex variables u and v.},
 pages = {239--266},
 title = {Explicit Formulas and Asymptotic Expansions for Certain Mean Square of Hurwitz Zeta-Functions: III},
 volume = {131},
 year = {2002}
}