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 “Small gaps between zeros of twisted L-functions”
On the zeros of Dirichlet L-functions. IV.
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.
Recent progress in the theory of L-functions
Matti Jutila (1975-1976)
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Simple zeros of the Ramanujan ...-Dirichlet series.
J.B. Conrey, A. Ghosh (1988)
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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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On the Zeros of a Class of Generalised Dirichlet Series-XVI.
K. Ramachandra, A. Sankaranarayanan (1994)
Mathematica Scandinavica
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A note on the Dirichlet characters of polynomials
Wenpeng Zhang, Weili Yao (2004)
Acta Arithmetica
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On Eisenstein series with characters and the values of Dirichlet L-functions
Bruce Berndt (1975)
Acta Arithmetica
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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 zeros of functions satisfying certain differential-difference equations
Frieder Grupp (1988)
Acta Arithmetica
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On the zeros of functions with bounded Dirichlet integrals.
Lennart Carleson (1952)
Mathematische Zeitschrift
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