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
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David J. Platt, Sumaia Saad Eddin (2013)
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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.
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Bruce Berndt (1975)
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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
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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
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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.