Results 51 to 60 of about 36,426 (206)

Linear operators, the Hurwitz zeta function and Dirichlet L-functions [PDF]

Journal of Number Theory, 2019
At the 1900 International Congress of Mathematicians, Hilbert claimed that the Riemann zeta function is not the solution of any algebraic ordinary differential equation its region of analyticity \cite{HilbertProb}.
Bernardo Bianco Prado, Kim Klinger-Logan
semanticscholar   +1 more source

Double Euler Sums on Hurwitz Zeta Functions

Rocky Mountain Journal of Mathematics, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eie, Minking, Liaw, Wen-Chin
openaire   +2 more sources

Double series expression for the Stieltjes constants

, 2011
We present expressions in terms of a double infinite series for the Stieltjes constants $\gamma_k(a)$. These constants appear in the regular part of the Laurent expansion for the Hurwitz zeta function.
Coffey, Mark W.
core   +1 more source

The inverse of tails of Riemann zeta function, Hurwitz zeta function and Dirichlet L-function

AIMS Mathematics
In this paper, we derive the asymptotic formulas $ B^*_{r, s, t}(n) $ such that \begin{document}$ \mathop{\lim} \limits_{n \rightarrow \infty} \left\{ \left( \sum\limits^{\infty}_{k = n} \frac{1}{k^r(k+t)^s} \right)^{-1} - B^*_{r,s,t}(n) \right\} = 0,
Zhenjiang Pan, Zhengang Wu
semanticscholar   +1 more source

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
doaj   +1 more source

A mixed joint universality theorem for zeta‐functions

Mathematical Modelling and Analysis, 2010
In the paper, a joint universality theorem for the Riemann zeta‐function and a collection of periodic Hurwitz zeta‐functions on approximation of analytic functions is obtained.
Jonas Genys, Renata Macaitienė, Santa Račkauskienė, Darius Šiaučiūnas   +3 more
doaj   +1 more source

On Some Families of Integrals Connected to the Hurwitz Zeta Function

, 2015
Expressions for a family of integrals involving the Hurwitz zeta function are established using standard properties of the Fourier ...
Patkowski, Alexander E
core   +1 more source

A Mixed Joint Universality Theorem for Zeta-Functions. II

Mathematical Modelling and Analysis, 2014
In the paper, a joint universality theorem on the approximation of analytic functions for zeta-function of a normalized Hecke eigen cusp form and a collection of periodic Hurwitz zeta-functions with algebraically independent parameters is obtained.
Vaida Pocevičienė, Darius Šiaučiūnas   +1 more
doaj   +1 more source

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., Cho Y. M., Ray D., Schubert C., Sergio Zerbini, Toms D. J., Toms D. J., Vittorio Barone Adesi   +7 more
core   +3 more sources

Some Properties of Meromorphic Functions Defined by the Hurwitz–Lerch Zeta Function

Mathematics
The findings of this study are connected with geometric function theory and were acquired using subordination-based techniques in conjunction with the Hurwitz–Lerch Zeta function.
Ekram E. Ali, Rabha M. El-Ashwah, Nicoleta Breaz, Abeer M. Albalahi   +3 more
doaj   +1 more source