Results 51 to 60 of about 550,652 (221)
Remarks on the mixed joint universality for a class of zeta-functions
, 2016 Two remarks related with the mixed joint universality for a polynomial Euler product and a periodic Hurwitz zeta-function with a transcendental parameter are given.
Hilbert +10 more
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Series Representations at Special Values of Generalized Hurwitz-Lerch Zeta Function
Abstract and Applied Analysis, 2013 By making use of some explicit relationships between the Apostol-Bernoulli, Apostol-Euler, Apostol-Genocchi, and Apostol-Frobenius-Euler polynomials of higher order and the generalized Hurwitz-Lerch zeta function as well as a new expansion formula for ...
S. Gaboury, A. Bayad
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Joint universality of some zeta-functions. I
Lietuvos Matematikos Rinkinys, 2010 In the paper, the joint universality for the Riemann zeta-function and a collection of periodic Hurwitz zeta functions is discussed and basic results are given.
Santa Račkauskienė +1 more
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Integral representations of q-analogues of the Hurwitz zeta function
, 2005 Two integral representations of q-analogues of the Hurwitz zeta function are established. Each integral representation allows us to obtain an analytic continuation including also a full description of poles and special values at non-positive integers of ...
DM Bradley +12 more
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On the zeros of generalized Hurwitz zeta functions
Journal of Number Theory, 2014 To appear in Journal of Number ...
T. Chatterjee, S. Gun
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Questions around the nontrivial zeros of the Riemann zeta-function. Computations and classifications
Mathematical Modelling and Analysis, 2011 We study the sequence of nontrivial zeros of the Riemann zeta-function with respect to sequences of zeros of other related functions, namely, the Hurwitz zeta-function and the derivative of Riemann's zeta-function.
Ramūnas Garunkštis, Joern Steuding
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Is Catalan’s Constant Rational?
Mathematics, 2022 This paper employs a contour integral method to derive and evaluate the infinite sum of the Euler polynomial expressed in terms of the Hurwitz Zeta function. We provide formulae for several classes of infinite sums of the Euler polynomial in terms of the
Robert Reynolds, Allan Stauffer
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Analytic continuation of the Hurwitz Zeta Function with physical application
, 2002 A new formula relating the analytic continuation of the Hurwitz zeta function to the Euler gamma function and a polylogarithmic function is presented. In particular, the values of the first derivative of the real part of the analytic continuation of the ...
Beneventano C. G. +7 more
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Self-approximation of Hurwitz Zeta-functions [PDF]
Functiones et Approximatio Commentarii Mathematici, 2014 We are looking for real numbers and d for which there exist 'many' real numbers such that the shifts of the Hurwitz-zeta function (s + i; ) and (s +id; ) are 'near' each other.
Garunkštis, Ramūnas, Karikovas, Erikas
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An extension of q-zeta function
International Journal of Mathematics and Mathematical Sciences, 2004 We will define the extension of q-Hurwitz zeta function due to Kim and Rim (2000) and study its properties. Finally, we lead to a useful new integral representation for the q-zeta function.
T. Kim, L. C. Jang, S. H. Rim
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