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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S. Chowla, M.J. DeLeon, P. Hartung (1973)
Journal für die reine und angewandte Mathematik
D. Heath-Brown (1979)
Acta Arithmetica
Masanori Katsurada (2001)
Acta Arithmetica
S. Segal (1976)
Acta Arithmetica
Tetsuya Asai (1977)
Mathematische Annalen
Peter L. Walker (1982)
Mathematische Zeitschrift
N. Kurokawa (1987)
Acta Arithmetica
S. Chowla, I. Kessler, M. Livingston (1977)
Acta Arithmetica
Takeo Funakura (1996)
Acta Arithmetica
S.J. Patterson (1978)
Journal für die reine und angewandte Mathematik
Bruce Berndt (1975)
Acta Arithmetica
V.V. Rane (1983)
Mathematische Annalen
Bin-Saad, M.G., Al-Gonah, A.A. (2006)
Acta Mathematica Universitatis Comenianae. New Series
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.
S. Kanemitsu, Y. Tanigawa, M. Yoshimoto (2003)
Acta Arithmetica
J. Pintz (1974)
Acta Arithmetica
D. M. Goldfeld, A. Schinzel (1975)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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.
Tanguy Rivoal (2009)
Actes des rencontres du CIRM
Christopher Hooley (1972)
Journal für die reine und angewandte Mathematik
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