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.
Zeros on the Critical Line for Dirichlet Series Attached to Certain Cusp Forms.
James Lee Hafner (1983)
Mathematische Annalen
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Simple zeros of the Ramanujan ...-Dirichlet series.
J.B. Conrey, A. Ghosh (1988)
Inventiones mathematicae
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On the zeros of functions with finite Dirichlet integral and some related function spaces.
H.S. Shapiro, A.L. Shields (1962/63)
Mathematische Zeitschrift
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The k-functions in multiplicative number theory. IV. On a method of A. E. Ingham
J. Kaczorowski (1991)
Acta Arithmetica
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Dirichlet problems for distribution boundary values
H. J. Bremermann (1967)
Colloquium Mathematicae
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The k-functions in multiplicative number theory. III. Uniform distribution of zeta zeros; discrepancy
J. Kaczorowski (1991)
Acta Arithmetica
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On the Zeros of a Class of Generalised Dirichlet Series-XVI.
K. Ramachandra, A. Sankaranarayanan (1994)
Mathematica Scandinavica
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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.
On the logarithmic derivatives of Dirichlet L-functions at s=1
Yasutaka Ihara, V. Kumar Murty, Mahoro Shimura (2009)
Acta Arithmetica
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Small gaps between zeros of twisted L-functions
J. B. Conrey, H. Iwaniec, K. Soundararajan (2012)
Acta Arithmetica
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On the tails of the limiting distribution function of the error term in the Dirichlet divisor problem
Yuk-Kam Lau (2001)
Acta Arithmetica
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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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