The mixed joint functional independence of the Riemann zeta- and periodic Hurwitz zeta-functions [PDF]
Чебышевский сборник, 2016 The functional independence of zeta-functions is an interesting nowadays problem. This problem comes back to D. Hilbert. In 1900, at the International Congress of Mathematicians in Paris, he conjectured that the Riemman zeta-function does not satisfy any algebraic-differential equation. This conjecture was solved by A. Ostrowski. In 1975, S.M.
KAˇCINSKAIT˙E ROMA +1 more
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On a Certain Extension of the Hurwitz-Lerch Zeta Function
, 2014 Our purpose in this paper is to consider a generalized form of the extended Hurwitz-Lerch Zeta function. For this extended Hurwitz-Lerch Zeta function, we obtain some classical properties which includes various integral representations, a differential ...
Parmar Rakesh K., Raina R. K.
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Summary of Doctoral dissertation "Mixed joint universality for Dirichlet L-functions and Hurwitz type zeta-functions". [PDF]
, 2015 The aims of the thesis are mixed joint universality theorems for Dirichlet L-functions and Hurwitz type zeta-functions, i.e., theorems on simultaneous approximation of a collection of analytic functions by shifts of Dirichlet L-functions which have Euler'
Janulis, Kęstutis,
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The Hurwitz Zeta Function as a Convergent Series [PDF]
, 2006 New series for the Hurwitz zeta function which converge on the whole plane, except s = 1, are developed.
Dwilewicz, Roman, Minac, Jan
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A probability distribution associated with the Hurwitz zeta function
, 1987 A new discrete probability distribution is defined in terms of the Hurwitz zeta function and its relationship to the Poisson distribution is demonstrated.
R. L. Duncan
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Asymptotic Analysis of Regular Sequences. [PDF]
Algorithmica, 2020 Heuberger C, Krenn D.
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A note on functional independence of some zeta-functions
, 2021 In the paper, we prove the joint denseness and the functional independence for the Dirichlet L-function L ( s; ) and periodic Hurwitz zeta-function ( s; ; b ) with transcendental ...
Kačinskaitė, Roma
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SOME FORMULAS FOR APOSTOL-EULER POLYNOMIALS ASSOCIATED WITH HURWITZ ZETA FUNCTION AT RATIONAL ARGUMENTS [PDF]
, 2020 We give some explicit relationships between the Apostol-Euler polynomials and generalized Hurwitz-Lerch Zeta function and obtain some series representations of the Apostol-Euler polynomials of higher order in terms of the generalized Hurwitz-Lerch Zeta ...
Qiu-Ming Luo
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On Behind the Physics of the Thermoelectricity of Topological Insulators. [PDF]
Sci Rep, 2019 Baldomir D, Faílde D.
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Biofouling of Polyamide Membranes: Fouling Mechanisms, Current Mitigation and Cleaning Strategies, and Future Prospects. [PDF]
Membranes (Basel), 2019 Kucera J.
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