Results 11 to 20 of about 9,151 (298)
Journal of Number Theory, 2000 A sequence \(\{u_n\}_{n\geq 0}\) is \(d\)-automatic if its \(n\)-th term can be computed by a finite-state machine using the base \(d\) expansion of the integer \(n\). To such a sequence corresponds a sequence of \(t\)-dimensional vectors \(\{U_n\}_{n\geq 0}\), whose first components give the sequence \(\{u_n\}_{n\geq 0}\), and \(d\) matrices \(A_0,A_1,
Allouche, J.-P +2 more
openaire +2 more sources
On regular variation of entire Dirichlet series
Математичні 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
Dirichlet approximation and universal Dirichlet series
Proceedings 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 Vitushkin. We also strengthen the notion of universal Dirichlet series.
Aron, R.M. +4 more
openaire +4 more sources
Pseudostarlikeness and Pseudoconvexity of Multiple Dirichlet Series
Universal Journal of Mathematics and Applications, 2023 Let $p\in {\Bbb N}$, $s=(s_1,\ldots,s_p)\in {\Bbb C}^p$, $h=(h_1,\ldots,h_p)\in {\Bbb R}^p_+$, $(n)=(n_1,\ldots,n_p)\in {\Bbb N}^p$ and the sequences $\lambda_{(n)}=(\lambda^{(1)}_{n_1},\ldots,\lambda^{(p)}_{n_p})$ are such that $0<\lambda^{(j)}_1 ...
Myroslav Sheremeta
doaj +1 more source
Pseudostarlike and pseudoconvex Dirichlet series of the order $\alpha$ and the type $\beta$
Математичні 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
Discrete universality of absolutely convergent Dirichlet series
Mathematical Modelling and Analysis, 2022 In the paper, an universality theorem of discrete type on the approximation of analytic functions by shifts of a special absolutely convergent Dirichlet series is obtained.
Mindaugas Jasas +3 more
doaj +1 more source
Nonlinear Analysis, 1998 It is proved an uniform on compact sets approximation by mean of the general Dirichlet series.
A. Laurinčikas
doaj +1 more source
Dirichlet series as interfering probability amplitudes for quantum measurements
New 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
Fréchet spaces of general Dirichlet series [PDF]
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2021 Inspired by a recent article on Fr chet spaces of ordinary Dirichlet series $\sum a_n n^{-s}$ due to J.~Bonet, we study topological and geometrical properties of certain scales of Fr chet spaces of general Dirichlet spaces $\sum a_n e^{- _n s}$. More precisely, fixing a frequency $ = ( _n)$, we focus on the Fr chet space of $ $-Dirichlet series ...
Andreas Defant +3 more
openaire +6 more sources
Experimental Observation of a Calcium Silicon Double Carbonate
Angewandte Chemie, EarlyView.High‐pressure and ‐temperature reactions between Ca5(Si2O7)(CO3)2 tilleyite and CO2 carbon dioxide yield the first experimental evidence of the double carbonate Ca2Si(CO3)4 and a new Ca2(C4O10) phase containing tetrahedral [CO4] units. These findings reveal unexpected carbonate chemistry and highlight pathways for carbon incorporation under mantle ...
Benedito Donizeti Botan‐Neto +6 more
wiley +2 more sources