A generalization of Lerch’s formula
We give higher-power generalizations of the classical Lerch formula for the gamma function.
A generalized Euler-Maclaurin formula for the Hurwitz zeta function
A note on Dirichlet's L-functions
A Note on the Hurwitz Zeta Function
A Note on the Voronoi Summation Formula.
A remark on certain Hecke L-series which are non-negative on the real axis
A simple proof of the mean fourth power estimate for and
A simplification of the formula for L(1,χ) where χ is a totally imaginary Dirichlet character of a real quadratic field
Absolute tensor products, Kummer's formula and functional equations for multiple Hurwitz zeta functions
Addendum to the paper " On the zeros of a class of generalized Dirichlet series".
An application of Mellin-Barnes' type integrals to the mean square of Lerch zeta-functions.
We shall establish full asymptotic expansions for the mean squares of Lerch zeta-functions, based on F. V. Atkinson's device. Mellin-Barnes' type integral expression for an infinite double sum will play a central role in the derivation of our main formulae.
An application of Mellin-Barnes type integrals to the mean square of Lerch zeta-functions (II).
For the Lerch zeta-function Φ(s,x,λ) defined below, the multiple mean square of the form (1.1), together with its discrete and Irbid analogues, (1.2) and (1.3) are investigated by means of Atkinson's [2] dissection method applied to the product Φ(u,x,λ)Φ(υ,x,-λ), where u and υ are independent complex variables (see (4.2)). A complete asymptotic expansion of (1.1) as Im s → ±∞ is deduced from Theorem 1, while those of (1.2) and (1.3) as q → ∞ and (at the same time) as Im s → ±∞ are deduced from Theorems...
An approach to zeta-function of finite factorgraph via the Markov topological chains
An Asymptotic Formula in the Theory of Numbers.
An Asymptotic Formula in the Theory of Numbers. II:
An Asymptotic Formula in the Theory of Numbers. III.
An asymptotic formula relating the Siegel zero and the class number of quadratic fields
An effective order of Hecke-Landau zeta functions near the line σ=1, II (some applications)
An explicit estimate for zeros of Dedekind zeta functions
An integral involving the generalized zeta function.