On the zeros of Dirichlet L-functions. IV.
Akio Fujii (1976)
Journal für die reine und angewandte Mathematik
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Akio Fujii (1976)
Journal für die reine und angewandte Mathematik
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J.B. Conrey, A. Ghosh (1988)
Inventiones mathematicae
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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.
H.S. Shapiro, A.L. Shields (1962/63)
Mathematische Zeitschrift
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K. Ramachandra, A. Sankaranarayanan (1994)
Mathematica Scandinavica
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Eric Saias, Andreas Weingartner (2009)
Acta Arithmetica
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Mora, G., Sepulcre, J.M. (2011)
Abstract and Applied Analysis
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Li-Peng Xiao (2015)
Annales Polonici Mathematici
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The aim of this paper is to consider the following three problems:i (1) for a given uniformly q-separated sequence satisfying certain conditions, find a coefficient function A(z) analytic in the unit disc such that f”’ + A(z)f = 0 possesses a solution having zeros precisely at the points of this sequence; (2) find necessary and sufficient conditions for the differential equation (*) in the unit disc to be Blaschke-oscillatory; (3) find sufficient conditions on the analytic coefficients...
Н.Г. Чудаков ([unknown])
Matematiceskij sbornik
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Martin Huxley (1975)
Acta Arithmetica
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