Results 251 to 260 of about 32,945 (273)

The joint distribution of periodic zeta-functions

Studia Scientiarum Mathematicarum Hungarica, 2011
In this paper, the joint approximation of a given collection of analytic functions by a collection of shifts of zeta-functions with periodic coefficients is obtained. This is applied to prove the functional independence for these zeta-functions.
Roma kačinskaitė, Antanas Laurinčikas
openaire   +2 more sources

Joint discrete universality for periodic zeta-functions

Quaestiones Mathematicae, 2019
In the paper, joint universality theorems for periodic zeta functions with multiplicative coefficients and periodic Hurwitz zeta-functions are proved. The main theorem of [11] is extended, and two new joint universality theorems on the approximation of a
Antanas Laurincikas
exaly   +1 more source

Ihara's zeta function for periodic graphs and its approximation in the amenable case

Journal of Functional Analysis, 2008
In this paper, we give a more direct proof of the results by Clair and Mokhtari-Sharghi [B. Clair, S. Mokhtari-Sharghi, Zeta functions of discrete groups acting on trees, J. Algebra 237 (2001) 591-620] on the zeta functions of periodic graphs.
Tommaso Isola
exaly   +2 more sources

Some of the next articles are maybe not open access.

Related searches:

On the Periodic Zeta‐Function. II

Lithuanian Mathematical Journal, 2001
The authors continue their work [Lith. Math. J. 41, No. 2, 168--177 (2001); translation from Liet. Mat. Rink. 41, No. 2, 214--226 (2001; Zbl 1025.11028)] on the periodic zeta-function \(\zeta(s, \mathcal A)=\sum_{m=1}^\infty a_mm^{-s}\) \((\Re s>1)\), where \(\{a_m\}\) is a sequence of complex numbers with period \(k\) \((\geq 1)\).
Laurinčikas, A., Šiaučiūnas, D.
openaire   +1 more source

Identities Related to the Riemann Zeta Function and Periodic Zeta Functions

2013
Several interesting entries from page 196 in the lost notebook are examined. These relate to two of Ramanujan’s papers on integrals.
George E. Andrews, Bruce C. Berndt
openaire   +1 more source

Zeta Functions and Periodic Orbit Theory: A Review

Results in Mathematics, 1993
This is a comprehensive review of recent work on zeta functions, periodic orbit theory and their interrelations with the Selberg trace formula. Work on the quantization of chaos is also surveyed. The emphasis is on Lie group representation theory and differential geometry. Connections to string theory are also discussed. The following sample of section
openaire   +2 more sources

PERIOD DEFORMATIONS OF MULTIPLE HURWITZ ZETA FUNCTIONS

International Journal of Mathematics, 2007
We study continuous period deformations of the multiple Hurwitz zeta functions and their derivatives. Moreover we investigate period deformations of the generalized multiple gamma and sine functions and give applications.
openaire   +2 more sources

Joint Universality of Zeta Functions with Periodic Coefficients. II

Siberian Mathematical Journal, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

On the joint universality of periodic zeta functions

Mathematical Notes, 2009
In this paper, we obtain the joint universality (in the sense of Voronin) of Dirichlet series with periodic multiplicative coefficients. The proof is based on a joint limit theorem in the space of analytic functions.
A. Laurinčikas, R. Macaitiene
openaire   +1 more source

Joint discrete universality for periodic zeta-functions. II

Quaestiones Mathematicae, 2019
Abstract. In the paper, a theorem on the approximation of collections of a wide class of analytic functions by collections of shifts of zeta-functions with periodic co- efficients involving imaginary parts of non-trivial zeros of the Riemann zeta-function is obtained. For this, a version of the Montgomery pair correlation conjecture is required.
openaire   +3 more sources