Results 21 to 30 of about 845 (61)
Construction a new generating function of Bernstein type polynomials
, 2010 Main purpose of this paper is to reconstruct generating function of the Bernstein type polynomials. Some properties this generating functions are given.
Simsek, Yilmaz
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Decompositions of the extended Selberg class functions
Open MathematicsLet F(s)F\left(s) be a function from the extended Selberg class. We consider decompositions F(s)=f(h(s))F\left(s)=f\left(h\left(s)), where ff and hh are meromorphic functions.
Garunkštis Ramūnas +2 more
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The average order of the Dirichlet series of the gcd-sum function [PDF]
, 2007 Using a result of Bordellès, we derive the second term and improved error expressions for the partial sums of the Dirichlet series of the gcd-sum function, for all real values of the ...
Broughan, Kevin A.
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An inequality for means with applications
, 2008 We show that an almost trivial inequality for the first and second mean of a random variable can be used to give non-trivial improvements on deep results. As applications we improve on results on lower bounds for the Riemann zeta-function on the critical
Schlage-Puchta, Jan-Christoph
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A kind of identities related to Riemann zeta-function
Open MathematicsThe main purpose of this paper is to study a kind of identities related to Riemann zeta-function. We first construct a new sequence involving trigonometric function.
Chen Zhuoyu, Deng Changlin
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Asymptotic second moment of Dirichlet L-functions along a thin coset
Forum of Mathematics, SigmaWe prove an asymptotic formula for the second moment of central values of Dirichlet L-functions restricted to a coset. More specifically, consider a coset of the subgroup of characters modulo d inside the full group of characters modulo q. Suppose that
Bradford Garcia, Matthew P. Young
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Elementary Evaluation of the Zeta and Related Functions
, 2010 A simple and elementary derivation of values at integer points for the Riemann's zeta and related functions is reported.Comment: ICNAAM 2010: International Conference of Numerical Analysis and Applied Mathematics, Rhodes, Greece, 19-25 September ...
Bagdasaryan, Armen
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On generalized shifts of the Mellin transform of the Riemann zeta-function
Open MathematicsIn this article, we consider the asymptotic behaviour of the modified Mellin transform Z(s){\mathcal{Z}}\left(s), s=σ+its=\sigma +it, of the Riemann zeta-function using weak convergence of probability measures in the space of analytic functions defined ...
Laurinčikas Antanas +1 more
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Further extension of the generalized Hurwitz-Lerch Zeta function of two variables
, 2019 The main aim of this paper is to give a new generalization of Hurwitz-Lerch Zeta function of two variables.Also, we investigate several interesting properties such as integral representations, summation formula and a connection with generalized ...
Nisar, Kottakkaran Sooppy
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On the mean square of the zeta-function and the divisor problem [PDF]
, 2006 Let $\Delta(x)$ denote the error term in the Dirichlet divisor problem, and $E(T)$ the error term in the asymptotic formula for the mean square of $|\zeta(1/2+it)|$. If $E^*(t) = E(t) - 2\pi\Delta^*(t/2\pi)$ with $\Delta^*(x) = -\Delta(x) + 2\Delta(2x) -
Aleksandar Ivić +4 more
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