Results 11 to 20 of about 552,780 (265)
Construction of hybrid 1D‐0D networks for efficient and accurate blood flow simulations
International Journal for Numerical Methods in Fluids, Volume 95, Issue 2, Page 262-312, February 2023., 2023 A set of coupling equations to appropriately couple nonlinear 1D and lumped‐parameter (0D) models for blood flow in compliant vessels is defined. Then, a methodology for the high‐order numerical coupling between 1D and 0D vessels through hybrid junctions is proposed.
Beatrice Ghitti +3 more
wiley +1 more source
Numerical Linear Algebra with Applications, Volume 30, Issue 1, January 2023., 2023 Abstract In this work, we focus on a fractional differential equation in Riesz form discretized by a polynomial B‐spline collocation method. For an arbitrary polynomial degree p$$ p $$, we show that the resulting coefficient matrices possess a Toeplitz‐like structure. We investigate their spectral properties via their symbol and we prove that, like for
Mariarosa Mazza +3 more
wiley +1 more source
Pseudomoments of the Riemann zeta function [PDF]
Bulletin of the London Mathematical Society, 2018 The $2$kth pseudomoments of the Riemann zeta function $ (s)$ are, following Conrey and Gamburd, the $2k$th integral moments of the partial sums of $ (s)$ on the critical line. For fixed $k>1/2$, these moments are known to grow like $(\log N)^{k^2}$, where $N$ is the length of the partial sum, but the true order of magnitude remains unknown when $k\
Bondarenko, Andriy +4 more
openaire +5 more sources
Amplitude-like functions from entire functions
Journal of High Energy Physics, 2023 Recently a function was constructed that satisfies all known properties of a tree-level scattering of four massless scalars via the exchange of an infinite tower of particles with masses given by the non-trivial zeroes of the Riemann zeta function. A key
Claude Duhr, Chandrashekhar Kshirsagar
doaj +1 more source
Three‐dimensional lattice ground states for Riesz and Lennard‐Jones–type energies
Studies in Applied Mathematics, Volume 150, Issue 1, Page 69-91, January 2023., 2023 Abstract The Riesz potential fs(r)=r−s$f_s(r)=r^{-s}$ is known to be an important building block of many interactions, including Lennard‐Jones–type potentials fn,mLJ(r):=ar−n−br−m$f_{n,m}^{\rm {LJ}}(r):=a r^{-n}-b r^{-m}$, n>m$n>m$ that are widely used in molecular simulations.
Laurent Bétermin +2 more
wiley +1 more source
On the almost‐circular symplectic induced Ginibre ensemble
Studies in Applied Mathematics, Volume 150, Issue 1, Page 184-217, January 2023., 2023 Abstract We consider the symplectic‐induced Ginibre process, which is a Pfaffian point process on the plane. Let N be the number of points. We focus on the almost‐circular regime where most of the points lie in a thin annulus SN$\mathcal {S}_{N}$ of width O1N$O\left(\frac{1}{N}\right)$ as N→∞$N \rightarrow \infty$. Our main results are the bulk scaling
Sung‐Soo Byun, Christophe Charlier
wiley +1 more source
Riemann’s zeta function and beyond [PDF]
Bulletin of the American Mathematical Society, 2003 In recent yearsLL-functions and their analytic properties have assumed a central role in number theory and automorphic forms. In this expository article, we describe the two major methods for proving the analytic continuation and functional equations ofLL-functions: the method of integral representations, and the method of Fourier expansions of ...
Stephen Gelbart, Stephen D. Miller
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On the Order of Growth of Lerch Zeta Functions
Mathematics, 2023 We extend Bourgain’s bound for the order of growth of the Riemann zeta function on the critical line to Lerch zeta functions. More precisely, we prove L(λ, α, 1/2 + it) ≪ t13/84+ϵ as t → ∞.
Jörn Steuding, Janyarak Tongsomporn
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New Results Involving Riemann Zeta Function Using Its Distributional Representation
Fractal and Fractional, 2022 The relation of special functions with fractional integral transforms has a great influence on modern science and research. For example, an old special function, namely, the Mittag–Leffler function, became the queen of fractional calculus because its ...
Asifa Tassaddiq, Rekha Srivastava
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Precalculated arrays-based algorithms for the calculation of the Riemann zeta-function
Vilnius University Open Series, 2022 In this paper, we continue the study of efficient algorithms for the computation of the Riemann zeta function on the complex plane. We introduce two precalculated arrays-based modifications of MB-method.
Lukas Kuzma +2 more
doaj +1 more source