A note on the Dirichlet characters of polynomials
Wenpeng Zhang, Weili Yao (2004)
Acta Arithmetica
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Wenpeng Zhang, Weili Yao (2004)
Acta Arithmetica
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Wenpeng Zhang, Zhefeng Xu (2006)
Acta Arithmetica
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Bruce Berndt (1975)
Acta Arithmetica
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M. N. Huxley (1985)
Banach Center Publications
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David J. Platt, Sumaia Saad Eddin (2013)
Colloquium Mathematicae
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Let χ be a primitive Dirichlet character of conductor q and denote by L(z,χ) the associated L-series. We provide an explicit upper bound for |L(1,χ)| when 3 divides q.
Aleksandar Ivić (1993)
Publications de l'Institut Mathématique
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A. Mallik (1981)
Acta Arithmetica
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Frédéric Bayart (2004)
Acta Arithmetica
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H. M. Bui, D. R. Heath-Brown (2010)
Acta Arithmetica
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Kohji Matsumoto, Hirofumi Tsumura (2006)
Acta Arithmetica
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A. Mouze (2007)
Annales Polonici Mathematici
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We study universal Dirichlet series with respect to overconvergence, which are absolutely convergent in the right half of the complex plane. In particular we obtain estimates on the growth of their coefficients. We can then compare several classes of universal Dirichlet series.
Stéphane R. Louboutin (2003)
Colloquium Mathematicae
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We prove that if χ is a real non-principal Dirichlet character for which L(1,χ) ≤ 1- log2, then Chowla's hypothesis is not satisfied and we cannot use Chowla's method for proving that L(s,χ) > 0 for s > 0.
Zhefeng Xu, Wenpeng Zhang (2007)
Acta Arithmetica
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Eric Saias, Andreas Weingartner (2009)
Acta Arithmetica
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Hochmuth, Reinhard (1996)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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W. Kleiner (1966)
Colloquium Mathematicae
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Hideaki Ishikawa (2001)
Acta Arithmetica
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