A generalization of Lerch’s formula
We give higher-power generalizations of the classical Lerch formula for the gamma function.
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Displaying 1 – 20 of 182
A generalized Euler-Maclaurin formula for the Hurwitz zeta function
Eugenio P. Balanzario (2006)
Mathematica Slovaca
A note on Dirichlet's L-functions
R. Balasubramanian (1980)
Acta Arithmetica
A Note on the Hurwitz Zeta Function
Đurđe Cvijović, Jacek Klinowski (2000)
Matematički Vesnik
A Note on the Voronoi Summation Formula.
Dennis A. Hejhal (1979)
Monatshefte für Mathematik
A remark on certain Hecke L-series which are non-negative on the real axis
S. Chowla, D. Goldfeld (1976)
Acta Arithmetica
A simple proof of the mean fourth power estimate for and
K. Ramachandra (1974)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
A simplification of the formula for L(1,χ) where χ is a totally imaginary Dirichlet character of a real quadratic field
Donald Rideout (1973)
Acta Arithmetica
Absolute tensor products, Kummer's formula and functional equations for multiple Hurwitz zeta functions
Hirotaka Akatsuka (2006)
Acta Arithmetica
Addendum to the paper " On the zeros of a class of generalized Dirichlet series".
K. Ramachandra (1975)
Journal für die reine und angewandte Mathematik
An application of Mellin-Barnes' type integrals to the mean square of Lerch zeta-functions.
Masanori Katsurada (1997)
Collectanea Mathematica
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).
Masanori Katsurada (2005)
Collectanea Mathematica
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
А.М. Никитин (1994)
Zapiski naucnych seminarov POMI
An Asymptotic Formula in the Theory of Numbers.
Don Redmond (1976)
Mathematische Annalen
An Asymptotic Formula in the Theory of Numbers. II:
Don Redmond (1978)
Mathematische Annalen
An Asymptotic Formula in the Theory of Numbers. III.
Donald M. Redmond (1979)
Mathematische Annalen
An asymptotic formula relating the Siegel zero and the class number of quadratic fields
Dorian Goldfeld (1975)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
An effective order of Hecke-Landau zeta functions near the line σ=1, II (some applications)
K. Bartz (1989)
Acta Arithmetica
An explicit estimate for zeros of Dedekind zeta functions
W. Staś (1980)
Acta Arithmetica
An integral involving the generalized zeta function.
Elizalde, E., Romeo, A. (1990)
International Journal of Mathematics and Mathematical Sciences
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