Zero-density estimates for L-functions
Matti Jutila (1977)
Acta Arithmetica
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Displaying similar documents to “Recent progress in the theory of L-functions”
Zero-density estimates for L-functions
Large values of Dirichlet polynomials, IV
Martin Huxley, Matti Jutila (1977)
Acta Arithmetica
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Large values of Dirichlet polynomials II
Martin Huxley (1975)
Acta Arithmetica
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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.
Small gaps between zeros of twisted L-functions
J. B. Conrey, H. Iwaniec, K. Soundararajan (2012)
Acta Arithmetica
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A note on the Dirichlet characters of polynomials
Wenpeng Zhang, Weili Yao (2004)
Acta Arithmetica
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Power mean-values for Dirichlet's polynomials and the Riemann zeta-function, II
Jean-Marc Deshouillers, Henryk Iwaniec (1984)
Acta Arithmetica
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Explicit upper bounds for |L(1,χ)| for primitive even Dirichlet characters
Stéphane Louboutin (2002)
Acta Arithmetica
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Some problems in multidimensional analytic number theory
W. Duke (1989)
Acta Arithmetica
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Large values of Dirichlet polynomials
Martin Huxley (1973)
Acta Arithmetica
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On the size of L(1,χ) and S. Chowla's hypothesis implying that L(1,χ) > 0 for s > 0 and for real characters χ
S. Louboutin (2013)
Colloquium Mathematicae
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We give explicit constants κ such that if χ is a real non-principal Dirichlet character for which L(1,χ) ≤ κ, then Chowla's hypothesis is not satisfied and we cannot use Chowla's method for proving that L(s,χ) > 0 for s > 0. These constants are larger than the previous ones κ = 1- log 2 = 0.306... and κ = 0.367... we obtained elsewhere.
Some problems concerning roots of polynomials with Dirichlet characters as coefficients
J. Kaczorowski (1985)
Banach Center Publications
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On the least prime in an arithmetic progression and estimates for the zeros of Dirichlet L-functions
Triantafyllos Xylouris (2011)
Acta Arithmetica
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