Results 31 to 40 of about 97,597 (185)
Volterra operators on Hardy spaces of Dirichlet series [PDF]
, 2016 For a Dirichlet series symbol g(s)=∑n≥1bnn−s, the associated Volterra operator Tg acting on a Dirichlet series f(s)=∑n≥1ann−s is defined by the integral f↦−∫+∞sf(w)g′(w)dw.
Brevig, Ole Fredrik +2 more
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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
Erdős-Macintyre type theorem’s for multiple Dirichlet series: exceptional sets and open problems
Математичні Студії, 2023 In the paper, we formulate some open problems related to the best description of the values of the exceptional sets in Wiman's inequality for entire functions and in the Erd\H{o}s-Macintyre type theorems for entire multiple Dirichlet series.
A. I. Bandura, T. M. Salo, O. B. Skaskiv
doaj +1 more source
Regularization of odd-dimensional AdS gravity: Kounterterms [PDF]
, 2006 As an alternative to the Dirichlet counterterms prescription, I introduce the concept of Kounterterms as the boundary terms with explicit dependence on the extrinsic curvature K_{ij} that regularize the AdS gravity action. Instead of a Dirichlet boundary
B. Zumino +25 more
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Monomial convergence for holomorphic functions on $\ell\_r$ [PDF]
, 2016 Let $\mathcal F$ be either the set of all bounded holomorphic functions or the set of all $m$-homogeneous polynomials on the unit ball of $\ell\_r$. We give a systematic study of the sets of all $u\in\ell\_r$ for which the monomial expansion $\sum\_ ...
Bayart, Frédéric +2 more
core +4 more sources
Renormalization : A number theoretical model [PDF]
, 2006 We analyse the Dirichlet convolution ring of arithmetic number theoretic functions. It turns out to fail to be a Hopf algebra on the diagonal, due to the lack of complete multiplicativity of the product and coproduct.
A. Petermann +20 more
core +2 more sources
On mean values of some zeta-functions in the critical strip [PDF]
, 2003 For a fixed integer $k\ge 3$ and fixed $1/2 1$ we consider $$ \int_1^T |\zeta(\sigma + it)|^{2k}dt = \sum_{n=1}^\infty d_k^2(n)n^{-2\sigma}T + R(k,\sigma;T), $$ where $R(k,\sigma;T) = o(T) (T\to\infty)$ is the error term in the above asymptotic formula.
Ivić, Aleksandar
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Applied Mathematics in Science and Engineering, 2022 A class of nonlinear variational problems describing incompressible fluids and solids by stationary Stokes equations given in a planar domain with a crack (infinitely thin flat plate in fluids) is considered.
Victor A. Kovtunenko, Kohji Ohtsuka
doaj +1 more source
An Analytic Solution for 2D Heat Conduction Problems with General Dirichlet Boundary Conditions
Axioms, 2023 This paper proposed a closed-form solution for the 2D transient heat conduction in a rectangular cross-section of an infinite bar with the general Dirichlet boundary conditions.
Heng-Pin Hsu, Te-Wen Tu, Jer-Rong Chang
doaj +1 more source
The Hoheisel Phenomenon for Generalized Dirichlet Series [PDF]
Proceedings of the American Mathematical Society, 1973 Hoheisel’s proof that the difference between two consecutive primes is of smaller order of magnitude than either prime depends on Littlewood’s estimate for the zero-free region of the Riemann zeta function and a density estimate for the number of zeros in certain rectangles in the critical strip.
openaire +2 more sources