On the zeros of Dirichlet L-functions. IV.
Akio Fujii (1976)
Journal für die reine und angewandte Mathematik
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Displaying similar documents to “Simple zeros of the Ramanujan ...-Dirichlet series.”
On the zeros of Dirichlet L-functions. IV.
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K. Ramachandra, A. Sankaranarayanan (1994)
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Lennart Carleson (1952)
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Zeros on the Critical Line for Dirichlet Series Attached to Certain Cusp Forms.
James Lee Hafner (1983)
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Zeros of L-Functions.
H.L. MONTGOMERY (1969)
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Zeros and poles of Dirichlet series
Enrico Bombieri, Alberto Perelli (2001)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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Under certain mild analytic assumptions one obtains a lower bound, essentially of order , for the number of zeros and poles of a Dirichlet series in a disk of radius . A more precise result is also obtained under more restrictive assumptions but still applying to a large class of Dirichlet series.
Small gaps between zeros of twisted L-functions
J. B. Conrey, H. Iwaniec, K. Soundararajan (2012)
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Note on a hypothesis implying the non-vanishing of Dirichlet L-series L(s,χ) for s > 0 and real characters χ
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.