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ASYMPTOTIC BEHAVIOR OF THE INVERSE OF TAILS OF HURWITZ ZETA FUNCTION
, 2020This paper deals with the inverse of tails of Hurwitz zeta function. More precisely, for any positive integer s ≥ 2 and 0 ≤ a < 1, we give an algorithm for finding a simple form of fs,a(n) such ...
Ho-Hyeong Lee, Jong-Do Park
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ON THE UNIVERSALITY OF THE HURWITZ ZETA-FUNCTION
International Journal of Number Theory, 2012It is known that the Hurwitz zeta-function ζ(s, α) with transcendental or rational parameter α is universal in the sense that its shifts ζ(s + iτ, α), τ ∈ ℝ, approximate with a given accuracy any analytic function uniformly on compact subsets of the strip D = {s ∈ ℂ : ½ < σ < 1}. Let H(D) denote the space of analytic functions on D equipped with
Antanas Laurinčikas +1 more
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, 2017
. By the use of methods of real analysis and weight functions, we study the equivalent properties of a Hilbert-type integral inequality with the non-homogeneous kernel.
M. Rassias, Bicheng Yang
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. By the use of methods of real analysis and weight functions, we study the equivalent properties of a Hilbert-type integral inequality with the non-homogeneous kernel.
M. Rassias, Bicheng Yang
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Inequalities for the Hurwitz zeta function
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2000Let be the Hurwitz zeta function. Furthermore, let p > 1 and α ≠ 0 be real numbers and n ≥ 2 be an integer. We determine the best possible constants a(p, α, n), A(p, α, n), b(p, n) and B(p, n) such that the inequalities and hold for all positive real numbers x1,…,xn.
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Note on the Hurwitz Zeta Function of Higher Order
AIP Conference Proceedings, 2011In this note we give a proof of a relation connecting ζN(s,x) and ζ(s,x) where are Hurwitz zeta function of order N and 1 respectively. Our proof is different from the proof of J. Choi.
Abdelmejid Bayad +5 more
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On the Functional Equation for the Hurwitz Zeta-function
2009 International Conference on Artificial Intelligence and Computational Intelligence, 2009n this note, we shall derive the functional equation for the Hurwitz zeta-function from that for the Riemann zeta-function, on using an integral expression for Hurwitz zeta-function, which in turn depends on the functional equation for Riemann zeta-function.
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Hurwitz Type Multiple Genocchi Zeta Function
AIP Conference Proceedings, 2009Main purpose of this paper is to construct higher‐order w‐q‐Genocchi numbers and polynomials by using p‐adic q‐deformed fermionic integral on Zp. We derive some interesting identities related to higher‐order w‐q‐Genocchi numbers and polynomials. We also construct Hurwitz type multiple w‐Genocchi zeta function which interpolates these polynomials at ...
Hacer Ozden +4 more
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The Hurwitz Zeta Function and the Lerch Zeta Function
2017In this chapter we will discuss formulas we have developed for the evaluation of certain zeta functions. We will need them later for the numerical computation of the spectrum of the transfer operator. The implementations of these zeta functions are in a sense the heart of our computations, so we need to be very careful.
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On the Hurwitz Zeta-Function with Algebraic Irrational Parameter. II
Proceedings of the Steklov Institute of Mathematics, 2021A. Laurinčikas
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