On a hypothesis implying the non-vanishing of Dirichlet's L-series L(s, x) for s ... 0 and real odd characters x.
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Displaying 1 – 20 of 42
On a paper of Baker and Schinzel
D. Heath-Brown (1979)
Acta Arithmetica
On an asymptotic formula of Ramanujan for a certain theta-type series
Masanori Katsurada (2001)
Acta Arithmetica
On an identity between infinite series of arithmetic functions
S. Segal (1976)
Acta Arithmetica
On Certain Dirichlet Series Associated with Hilbert Modular Forms and Rankin's Method.
Tetsuya Asai (1977)
Mathematische Annalen
On Certain Dirichlet Series Whose Coefficients Are Related to Class Numbers.
Peter L. Walker (1982)
Mathematische Zeitschrift
On certain Euler products
N. Kurokawa (1987)
Acta Arithmetica
On character sums and the non-vanishing for s > 0 of Dirichlet L-series belonging to real odd characters χ
S. Chowla, I. Kessler, M. Livingston (1977)
Acta Arithmetica
On characterization of Dirichlet L-functions
Takeo Funakura (1996)
Acta Arithmetica
On Dirichlet series associated with cubic Gauss sums.
S.J. Patterson (1978)
Journal für die reine und angewandte Mathematik
On Eisenstein series with characters and the values of Dirichlet L-functions
Bruce Berndt (1975)
Acta Arithmetica
On Hurwitz Zeta-Function.
V.V. Rane (1983)
Mathematische Annalen
On hypergeometric-type generating relations associated with the generalized zeta function.
Bin-Saad, M.G., Al-Gonah, A.A. (2006)
Acta Mathematica Universitatis Comenianae. New Series
On limit distribution of the Hurwitz zeta-function
Antanas Laurinčikas (2010)
Open Mathematics
The distribution of the vector (|ζ(s, α)|; ζ(s, α)), where ζ(s, α) is the Hurwitz zeta-function with transcendental parameter α, is considered and a probabilistic limit theorem is obtained. Also, the dependence between |ζ(s, α)| and ζ(s, α) in terms of m-characteristic transforms is discussed.
On multiple Hurwitz zeta-function values at rational arguments
S. Kanemitsu, Y. Tanigawa, M. Yoshimoto (2003)
Acta Arithmetica
On Siegel's theorem
J. Pintz (1974)
Acta Arithmetica
On Siegel's zero
D. M. Goldfeld, A. Schinzel (1975)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
On the apostol-bernoulli polynomials
Qiu-Ming Luo (2004)
Open Mathematics
In the present paper, we obtain two new formulas of the Apostol-Bernoulli polynomials (see On the Lerch Zeta function. Pacific J. Math., 1 (1951), 161–167.), using the Gaussian hypergeometric functions and Hurwitz Zeta functions respectively, and give certain special cases and applications.
On the binary expansion of irrational algebraic numbers
Tanguy Rivoal (2009)
Actes des rencontres du CIRM
On the Brun-Titchmarsh theorem.
Christopher Hooley (1972)
Journal für die reine und angewandte Mathematik
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