On Eisenstein series with characters and the values of Dirichlet L-functions
Bruce Berndt (1975)
Acta Arithmetica
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Displaying similar documents to “A note on the Dirichlet characters of polynomials”
On Eisenstein series with characters and the values of Dirichlet L-functions
Some problems concerning roots of polynomials with Dirichlet characters as coefficients
J. Kaczorowski (1985)
Banach Center Publications
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On the Dirichlet characters of polynomials in several variables
Wenpeng Zhang, Zhefeng Xu (2006)
Acta Arithmetica
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Dirichlet polynomials
M. N. Huxley (1985)
Banach Center Publications
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The product of two Dirichlet series
Frédéric Bayart (2004)
Acta Arithmetica
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A note on the fourth moment of Dirichlet L-functions
H. M. Bui, D. R. Heath-Brown (2010)
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.
Generalized multiple Dirichlet series and generalized multiple polylogarithms
Kohji Matsumoto, Hirofumi Tsumura (2006)
Acta Arithmetica
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Explicit upper bounds for |L(1,χ)| when χ(3) = 0
David J. Platt, Sumaia Saad Eddin (2013)
Colloquium Mathematicae
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Let χ be a primitive Dirichlet character of conductor q and denote by L(z,χ) the associated L-series. We provide an explicit upper bound for |L(1,χ)| when 3 divides q.
Bounding L-functions by class numbers
A. Mallik (1981)
Acta Arithmetica
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Some identities involving the Dirichlet L-function
Zhefeng Xu, Wenpeng Zhang (2007)
Acta Arithmetica
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Growth of coefficients of universal Dirichlet series
A. Mouze (2007)
Annales Polonici Mathematici
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We study universal Dirichlet series with respect to overconvergence, which are absolutely convergent in the right half of the complex plane. In particular we obtain estimates on the growth of their coefficients. We can then compare several classes of universal Dirichlet series.
Solutions of the generalized Dirichlet problem for the iterated slice Dirac equation
Hongfen Yuan, Valery V. Karachik (2022)
Czechoslovak Mathematical Journal
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Applying the method of normalized systems of functions we construct solutions of the generalized Dirichlet problem for the iterated slice Dirac operator in Clifford analysis. This problem is a natural generalization of the Dirichlet problem.
On Leja-Górski approximations in the spatial Dirichlet's problem
W. Kleiner (1966)
Colloquium Mathematicae
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On the Laurent Coefficients of Certain Dirichlet Series
Aleksandar Ivić (1993)
Publications de l'Institut Mathématique
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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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Dirichlet Finite Biharmonic Functions with Dirichlet Finite Laplacians.
Mitsuru Nakai, Leo Sario (1971)
Mathematische Zeitschrift
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