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 “Distribution of zeros of Dirichlet L-functions and an explicit formula for ψ(t,χ)”
On the zeros of Dirichlet L-functions. IV.
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J.B. Conrey, A. Ghosh (1988)
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H.S. Shapiro, A.L. Shields (1962/63)
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J. Kaczorowski (1991)
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K. Ramachandra, A. Sankaranarayanan (1994)
Mathematica Scandinavica
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Zeros and poles of Dirichlet series
Enrico Bombieri, Alberto Perelli (2001)
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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.
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Yasutaka Ihara, V. Kumar Murty, Mahoro Shimura (2009)
Acta Arithmetica
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Small gaps between zeros of twisted L-functions
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Yuk-Kam Lau (2001)
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Zeros of Sequences of Partial Sums and Overconvergence
Kovacheva, Ralitza K. (2008)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 30B40, 30B10, 30C15, 31A15. We are concerned with overconvergent power series. The main idea is to relate the distribution of the zeros of subsequences of partial sums and the phenomenon of overconvergence. Sufficient conditions for a power series to be overconvergent in terms of the distribution of the zeros of a subsequence are provided, and results of Jentzsch-Szegö type about the asymptotic distribution of the zeros of overconvergent...
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.
On the zeros of functions with bounded Dirichlet integrals.
Lennart Carleson (1952)
Mathematische Zeitschrift
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