Results 11 to 20 of about 101,614 (60)
Dirichlet approximation and universal Dirichlet series
Proceedings of the American Mathematical Society, 2017 We characterize the uniform limits of Dirichlet polynomials on a right half plane. In the Dirichlet setting, we find approximation results, with respect to the Euclidean distance and {to} the chordal one as well, analogous to classical results of Runge, Mergelyan and Vitushkin. We also strengthen the notion of universal Dirichlet series.
Manuel Maestre +4 more
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Dirichlet series and series with Stirling numbers
Cubo (Temuco), 2023 This paper presents a number of identities for Dirichlet series and series with Stirling numbers of the first kind. As coefficients for the Dirichlet series we use Cauchy numbers of the first and second kinds, hyperharmonic numbers, derangement numbers, binomial coefficients, central binomial coefficients, and Catalan numbers.
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On the Multiplication of Dirichlet's Series [PDF]
Proceedings of the London Mathematical Society, 1912 n ...
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Dirichlet series of Rankin-Cohen Brackets [PDF]
, 2010 Given modular forms $f$ and $g$ of weights $k$ and $\ell$, respectively, their Rankin-Cohen bracket $[f,g]^{(k, \ell)}_n$ corresponding to a nonnegative integer $n$ is a modular form of weight $k +\ell +2n$, and it is given as a linear combination of the
Choie, YongJu, Lee, Min Ho
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Matrices related to Dirichlet series [PDF]
Journal of Number Theory, 2010 We attach a certain $n \times n$ matrix $A_n$ to the Dirichlet series $L(s)=\sum_{k=1}^{\infty}a_k k^{-s}$. We study the determinant, characteristic polynomial, eigenvalues, and eigenvectors of these matrices. The determinant of $A_n$ can be understood as a weighted sum of the first $n$ coefficients of the Dirichlet series $L(s)^{-1}$.
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The multiple Dirichlet product and the multiple Dirichlet series [PDF]
International Journal of Number Theory, 2017 First, we define the multiple Dirichlet product and study the properties of it. From those properties, we obtain a zero-free region of a multiple Dirichlet series and a multiple Dirichlet series expression of the reciprocal of a multiple Dirichlet series.
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Dirichlet series constructed from periods of automorphic forms
, 2015 We consider certain Dirichlet series of Selberg type, constructed from periods of automorphic forms. We study analytic properties of these Dirichlet series and show that they have analytic continuation to the whole complex plane.Comment: 27 ...
Gon, Yasuro
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The growth of Dirichlet series [PDF]
Czechoslovak Mathematical Journal, 2012 We define Knopp-Kojima maximum modulus and the Knopp-Kojima maximum term of Dirichlet series on the right half plane by the method of Knopp-Kojima, and discuss the relation between them. Then we discuss the relation between the Knopp-Kojima coefficients of Dirichlet series and its Knopp-Kojima order defined by Knopp-Kojima maximum modulus.
Daochun Sun, Zhendong Gu
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An Elliptic Analogue Of Generalized Cotangent Dirichlet Series And Its Transformation Formulae At Some Integer Arguments [PDF]
, 2011 B.C. Berndt evaluated special values of the cotangent Dirichlet series. T. Arakawa studied a generalization of the series, or generalized cotangent Dirichlet series, and gave its transformation formulae.
Machide, T.
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On a Dirichlet Series Associated with a Polynomial [PDF]
Proceedings of the American Mathematical Society, 1990 Let P ( x ) = ∏ j = 2 k ( x + δ j ) P(x) = \prod \nolimits _{j = 2}^k {(x + {\delta _j})} be a polynomial with ...
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