Results 21 to 30 of about 1,892 (123)

Black hole determinants and quasinormal modes [PDF]

, 2010
We derive an expression for functional determinants in thermal spacetimes as a product over the corresponding quasinormal modes. As simple applications we give efficient computations of scalar determinants in thermal AdS, BTZ black hole and de Sitter ...
Aros R Diaz D E, Berti E Cardoso V Starinets A O, Coleman S R, Cubrovic M Zaanen J Schalm K, Denef F Hartnoll S A Sachdev S, Diaz D E, Diaz D E, Dolan S R Ottewill A C, Dunne G V, Faulkner T Liu H McGreevy J Vegh D, Festuccia G Liu H, Frederik Denef, Gibbons G W, Giombi S, Hartman T, Hartnoll S A, Lee S S, Liu H McGreevy J Vegh D, Lopez-Ortega A, Maldacena J M, Motl L, Natario J, Policastro G, Sean A Hartnoll, Son D T, Spreafico M, Subir Sachdev, Witten E, Witten E, Young R M   +29 more
core   +2 more sources

A Weighted Discrete Universality Theorem for Periodic Zeta-Functions. II

Mathematical Modelling and Analysis, 2017
In the paper, a weighted theorem on the approximation of a wide class of analytic functions by shifts ζ(s + ikαh; a), k ∈ N, 0 < α < 1, and h > 0, of the periodic zeta-function ζ(s; a) with multiplicative periodic sequence a, is obtained.
Renata Macaitienė, Mindaugas Stoncelis, Darius Šiaučiūnas   +2 more
doaj   +1 more source

A Weighted Universality Theorem for Periodic Zeta-Functions

Mathematical Modelling and Analysis, 2017
The periodic zeta-function ζ(s; a), s = σ + it is defined for σ > 1 by the Dirichlet series with periodic coefficients and is meromorphically continued to the whole complex plane.
Renata Macaitienė, Mindaugas Stoncelis, Darius Šiaučiūnas   +2 more
doaj   +1 more source

On discrete value distribution of certain compositions

Mathematical Modelling and Analysis, 2019
In the paper, we obtain universality theorems and a lower estimate for the number of zeros for the composition F ζ (s, α; a, b) , where F is an operator in the space of analytic functions satisfying the Lipschitz type condition, and ζ (s, α; a, b) is a ...
Virginija Garbaliauskienė, Julija Karaliūnaitė, Renata Macaitienė   +2 more
doaj   +1 more source

Truncated Infinitesimal Shifts, Spectral Operators and Quantized Universality of the Riemann Zeta Function [PDF]

, 2013
We survey some of the universality properties of the Riemann zeta function $\zeta(s)$ and then explain how to obtain a natural quantization of Voronin's universality theorem (and of its various extensions).
Herichi, Hafedh, Lapidus, Michel L.
core   +2 more sources

Universality Theorems for Some Composite Functions

Mathematical Modelling and Analysis, 2016
In [5], it was proved that a collection consisting from Dirichlet L-functions and periodic Hurwitz zeta-functions is universal in the sense that the shifts of those functions approximate simultaneously a given collection of analytic functions.
Kęstutis Janulis, Donatas Jurgaitis, Antanas Laurinčikas, Renata Macaitienė   +3 more
doaj   +1 more source

Remarks on the mixed joint universality for a class of zeta-functions

, 2016
Two remarks related with the mixed joint universality for a polynomial Euler product and a periodic Hurwitz zeta-function with a transcendental parameter are given.
Hilbert, Javtokas, Kačinskaitė, KOHJI MATSUMOTO, Laurinčikas, Laurinčikas, Laurinčikas, Matsumoto, ROMA KAČINSKAITĖ, Steuding, Voronin   +10 more
core   +1 more source

A discrete version of the Mishou theorem related to periodic zeta-functions

Mathematical Modelling and Analysis
In the paper, we consider simultaneous approximation of a pair of analytic functions by discrete shifts and of the absolutely convergent Dirichlet series connected to the periodic zeta-function with multiplicative sequence a, and the periodic Hurwitz ...
Aidas Balčiūnas, Mindaugas Jasas, Audronė Rimkevičienė   +2 more
doaj   +1 more source

An efficient algorithm for accelerating the convergence of oscillatory series, useful for computing the polylogarithm and Hurwitz zeta functions

, 2007
This paper sketches a technique for improving the rate of convergence of a general oscillatory sequence, and then applies this series acceleration algorithm to the polylogarithm and the Hurwitz zeta function.
A. Jonquière, C. Brezinski, E.A. Karatsuba, E.J. Weniger, E.P. Balanzario, G. Soff, H. Cohen, H. Hasse, Linas Vepštas, R. Šleževičiene, T.M. Apostol   +10 more
core   +5 more sources

Casimir Force of Fermions Coupled to Monopoles in Six Dimensional Spacetime [PDF]

, 2013
We calculate the Casimir force for a fermionic quantum field in a piston geometry with three parallel plates. The fermion satisfies bag boundary conditions on the plates and the spacetime is assumed to have compact extra dimensions.
Oikonomou, V. K.
core   +1 more source