Results 11 to 20 of about 4,202,898 (279)

Inequalities for Dirichlet Series with Positive Terms [PDF]

open access: yes, 2006
Some fundamental inequalities for Dirichlet series with positive terms by utilising certain classical results due to Hölder, Čebyšev, Pólya-Szegö, Grüss and others are ...
Cerone, Pietro, Dragomir, Sever S
core   +6 more sources

Dirichlet approximation and universal Dirichlet series

open access: yesProceedings of the American Mathematical Society, 2017
We characterize the uniform limits of Dirichlet polynomials on a right half plane. In the Dirichlet setting, we find approximation results, with respect to the Euclidean distance and to the chordal one as well, analogous to classical results of Runge, Mergelyan and Vituškin. We also strengthen the notion of universal Dirichlet series.
Aron, R.M.   +4 more
openaire   +4 more sources

On regular variation of entire Dirichlet series

open access: yesМатематичні Студії, 2023
Consider an entire (absolutely convergent in $\mathbb{C}$) Dirichlet series $F$ with the exponents $\lambda_n$, i.e., of the form $F(s)=\sum_{n=0}^\infty a_ne^{s\lambda_n}$, and, for all $\sigma\in\mathbb{R}$, put $\mu(\sigma,F)=\max\{|a_n|e^{\sigma ...
P. V. Filevych, O. B. Hrybel
doaj   +1 more source

Approximation by mean of the function given by dirichlet series by absolutely convergent Dirichlet series

open access: yesNonlinear Analysis, 1998
It is proved an uniform on compact sets approximation by mean of the general Dirichlet series.
A. Laurinčikas
doaj   +1 more source

Pseudostarlike and pseudoconvex Dirichlet series of the order $\alpha$ and the type $\beta$

open access: yesМатематичні Студії, 2020
The concepts of the pseudostarlikeness of order $\alpha\in [0,\,1)$ and type $\beta\in (0,\,1]$ and the pseudoconvexity of order $\alpha$ and type $\beta$ are introduced for Dirichlet series with null abscissa of absolute convergence.
M.M. Sheremeta
doaj   +1 more source

Dirichlet series as interfering probability amplitudes for quantum measurements

open access: yesNew Journal of Physics, 2015
We show that all Dirichlet series, linear combinations of them and their analytical continuations represent probability amplitudes for measurements on time-dependent quantum systems.
C Feiler, W P Schleich
doaj   +1 more source

Lattice permutations and Poisson-Dirichlet distribution of cycle lengths [PDF]

open access: yes, 2012
We study random spatial permutations on ℤ3 where each jump x↦π(x) is penalized by a factor e−T∥x−π(x)∥2 . The system is known to exhibit a phase transition for low enough T where macroscopic cycles appear.
Daniel Ueltschi   +6 more
core   +1 more source

On the non-randomness of modular arithmetic progressions: a solution to a problem by V. I. Arnold [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2006
We solve a problem by V. I. Arnold dealing with "how random" modular arithmetic progressions can be. After making precise how Arnold proposes to measure the randomness of a modular sequence, we show that this measure of randomness takes a simplified form
Eda Cesaratto   +2 more
doaj   +1 more source

Sampling from Dirichlet process mixture models with unknown concentration parameter: mixing issues in large data implementations [PDF]

open access: yes, 2014
We consider the question of Markov chain Monte Carlo sampling from a general stick-breaking Dirichlet process mixture model, with concentration parameter (Formula presented.).
Silvia Liverani   +5 more
core   +1 more source

Generative Supervised Classification Using Dirichlet Process Priors. [PDF]

open access: yes, 2010
Choosing the appropriate parameter prior distributions associated to a given Bayesian model is a challenging problem. Conjugate priors can be selected for simplicity motivations.
Davy, Manuel, Tourneret, Jean-Yves
core   +1 more source

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