Results 211 to 220 of about 32,458 (230)

Equivalent properties of a Hilbert-type integral inequality with the best constant factor related to the Hurwitz zeta function

, 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
semanticscholar   +1 more source

Inequalities for the Hurwitz zeta function

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2000
Let 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, 2011
In 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, Yilmaz Simsek, Theodore E. Simos, George Psihoyios, Ch. Tsitouras, Zacharias Anastassi   +5 more
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Hurwitz Type Multiple Genocchi Zeta Function

AIP Conference Proceedings, 2009
Main 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, Ismail Naci Cangul, Yilmaz Simsek, George Maroulis, Theodore E. Simos   +4 more
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The Hurwitz Zeta Function and the Lerch Zeta Function

2017
In 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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Some novel identities for analogues of Dedekind sums, Hurwitz zeta-function and general Kloosterman sum

Acta Mathematica Hungarica, 2022
M. Daǧlı
semanticscholar   +1 more source

Jackson’s integral of the Hurwitz zeta function

Rendiconti del Circolo Matematico di Palermo, 2007
We give a Jacksonq-integral analogue of Euler’s logarithmic sine integral established in 1769 from several points of view, specifically from the one relating to the Hurwitz zeta function.
Masato Wakayama, Katsuhisa Mimachi, Nobushige Kurokawa   +2 more
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Sums of digits and the Hurwitz zeta function

1990
Let s2(n) denote the sum of the binary digits of n. Then it is easily seen that $$\sum\limits_{n = 1}^{ + \infty } {\frac{{s_2 (n)}}{{n(n + 1)}} = 2Log2.}$$
Jeffrey Shallit, Jean-Paul Allouche
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On the Functional Equation for the Hurwitz Zeta-function

2009 International Conference on Artificial Intelligence and Computational Intelligence, 2009
n 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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On the Hurwitz Zeta-Function with Algebraic Irrational Parameter. II

Proceedings of the Steklov Institute of Mathematics, 2021
A. Laurinčikas
semanticscholar   +1 more source