A note on the Dirichlet characters of polynomials
Wenpeng Zhang, Weili Yao (2004)
Acta Arithmetica
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Displaying similar documents to “On the Dirichlet characters of polynomials in several variables”
A note on the Dirichlet characters of polynomials
Dirichlet polynomials
M. N. Huxley (1985)
Banach Center Publications
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Some problems concerning roots of polynomials with Dirichlet characters as coefficients
J. Kaczorowski (1985)
Banach Center Publications
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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.
On Eisenstein series with characters and the values of Dirichlet L-functions
Bruce Berndt (1975)
Acta Arithmetica
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Mean and Large Values of Dirichlet Polynomials.
H.L. MONTGOMERY (1969)
Inventiones mathematicae
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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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Explicit upper bounds for |L(1,χ)| for primitive even Dirichlet characters
Stéphane Louboutin (2002)
Acta Arithmetica
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Some identities involving the Dirichlet L-function
Zhefeng Xu, Wenpeng Zhang (2007)
Acta Arithmetica
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Products of several Jacobi or Laguerre polynomials
Bruno Gabutti (1984)
Rendiconti del Seminario Matematico della Università di Padova
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Generalized multiple Dirichlet series and generalized multiple polylogarithms
Kohji Matsumoto, Hirofumi Tsumura (2006)
Acta Arithmetica
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Mean values of Dirichlet polynomials and applications to linear equations with prime variables
Stephen Kwok-Kwong Choi, Angel V. Kumchev (2006)
Acta Arithmetica
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Bounding L-functions by class numbers
A. Mallik (1981)
Acta Arithmetica
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Some generating functions of Jacobi polynomials
B. L. Sharma, H. L. Manocha (1969)
Matematički Vesnik
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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.
Nonnegative linearization for orthogonal polynomials with eventually constant Jacobi parameters
Wojciech Młotkowski (2010)
Banach Center Publications
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We study the nonnegative product linearization property for polynomials with eventually constant Jacobi parameters. For some special cases a necessary and sufficient condition for this property is provided.