Results 21 to 30 of about 101,614 (60)
Weyl group multiple Dirichlet series of type A_2 [PDF]
, 2007 A Weyl group multiple Dirichlet series is a Dirichlet series in several complex variables attached to a root system Phi. The number of variables equals the rank r of the root system, and the series satisfies a group of functional equations isomorphic to ...
E. Gunnells, Gautam Chinta, Paul
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Local interpolation in Hilbert spaces of Dirichlet series
, 2006 We denote by $\Hp$ the Hilbert space of ordinary Dirichlet series with square-summable coefficients. The main result is that a bounded sequence of points in the half-plane $\sigma >1/2$ is an interpolating sequence for $\Hp$ if and only if it is an ...
Olsen, Jan-Fredrik, Seip, Kristian
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Greedy Sums and Dirichlet Series [PDF]
, 2011 We prove that the greedy sum of a direct product of two numeric arrays of complex numbers is equal to the product of the greedy sums of the factors provided that all the mentioned sums exist.Comment: 3 ...
Shchepin, Evgeny
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On Uniqueness of Dirichlet Series [PDF]
The Quarterly Journal of Mathematics, 2020 Abstract We give a characterization of the ratio of two Dirichelt series convergent in a right half-plane under an analytic condition, which is applicable to a uniqueness problem for Dirichlet series admitting analytic continuation in the complex plane as meromorphic functions of finite order; uniqueness theorems are given in terms of a ...
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THE TRANSLATION ½ IN THE THEORY OF DIRICHLET SERIES [PDF]
Real Analysis Exchange, 2001 In three different problems concerning Dirichlet series, we study in detail the role and optimality of a translation by $1/2$ on the abscissas. In particular, we show the non-existence of Rudin-Shapiro like Dirichlet polynomials.
Konyagin, S. V., Queffélec, H.
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, 2005 We propose a definition of "Admissible Dirichlet Series" as the analog of Hayman's 1956 definition of "Admissible Power Series".
Burris, Stanley, Yeats, Karen
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The Multiplication Problem for Dirichlet Series [PDF]
Proceedings of the American Mathematical Society, 1958 1. P. Erdos and S. J. Taylor, On the set of points of convergence of a lacunary trigonometric series and the equidistribution properties of related sequences, Proc. London Math. Soc. (2) vol. 7 (1957) pp. 598-615. 2. C. S. Herz, The Bohr spectrum of bounded functions, Bull. Amer. Math. Soc. vol. 62 (1955) p. 76. 3. H.
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On the analytic continuation of Dirichlet series [PDF]
Proceedings of the American Mathematical Society, 1978 Given a continuable Dirichlet series, having as sequence of exponents { λ n } n = 1 ∞ \{ {\lambda _n}\} _{n = 1}^\infty , it is shown that any other Dirichlet series can be continued along the ...
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On certain multiple Dirichlet series
, 2019 In this paper we study the analytic properties of a multiple Dirichlet series associated to the prehomogeneous vector space of binary cubic forms.Comment: 21 ...
Lee, Eun Hye, Takloo-Bighash, Ramin
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Dirichlet and Poincaré series [PDF]
Glasgow Mathematical Journal, 1985 The study of modular forms has been deeply influenced by famous conjectures and hypotheses concerningwhere T(n) denotes Ramanujan's function. The fundamental discriminant Δ is a cusp form of weight 12 with respect to the modular group. Its associated Dirichlet seriesdefines an entire function of s and satisfies the functional equationThe most ...
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