Results 21 to 30 of about 117,411,128 (106)
K. Petr's Formula of Double Integral and Estimates of its Remainder [PDF]
, 2003 In the article, K. Petr’s formula of single integral is generalized to that of double integral, some important special cases and estimates of its remainder are ...
Qi, Feng, Luo, Qiu-Ming, Guo, Bai-Ni
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The asymptotic Mahler measure of Gaussian periods
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract We construct a sequence of cyclotomic integers (Gaussian periods) of particularly small Mahler measure/height. We study the asymptotics of their Mahler measure as a function of their conductor, to find that the growth rate is the (multivariate) Mahler measure of a family of log Calabi–Yau varieties of increasing dimension.
Gunther Cornelissen +2 more
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Local Polynomial Regression and Filtering for a Versatile Mesh‐Free PDE Solver
International Journal for Numerical Methods in Fluids, Volume 98, Issue 7, Page 804-839, July 2026.A high‐order, mesh‐free finite difference method for solving differential equations is presented. Both derivative approximation and scheme stabilisation is carried out by parametric or non‐parametric local polynomial regression, making the resulting numerical method accurate, simple and versatile. Numerous numerical benchmark tests are investigated for
Alberto M. Gambaruto
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A new zero‐density estimate for ζ(s)$\zeta (s)$ and the error term in the prime number theorem
Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.Abstract We will provide a new type of zero‐density estimate for ζ(s)$\zeta (s)$ when σ$\sigma$ is sufficiently close to 1. In particular, we will show that N(σ,T)$N(\sigma,T)$ can be bounded by an absolute constant when σ$\sigma$ is sufficiently close to the left edge of the Korobov–Vinogradov zero‐free region.
Chiara Bellotti
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The Steklov spectrum of spherical cylinders
Mathematika, Volume 72, Issue 2, April 2026.Abstract The Steklov problem on a compact Lipschitz domain is to find harmonic functions on the interior whose outward normal derivative on the boundary is some multiple (eigenvalue) of their trace on the boundary. These eigenvalues form the Steklov spectrum of the domain.
Spencer Bullent
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Equivariant toric geometry and Euler–Maclaurin formulae
Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 451-557, March 2026.Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell +3 more
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Loading Non‐Maxwellian Velocity Distributions in Particle Simulations
Journal of Geophysical Research: Space Physics, Volume 131, Issue 3, March 2026.Abstract Numerical procedures for generating non‐Maxwellian velocity distributions in particle simulations are presented. First, Monte Carlo methods for the (r,q) $(r,q)$ distribution that generalizes flattop and Kappa distributions are discussed. Then, two rejection methods for the regularized Kappa distribution are presented, followed by a comparison
Seiji Zenitani +2 more
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Singular Euler-Maclaurin expansion on multidimensional lattices [PDF]
, 2021 We extend the classical Euler-Maclaurin expansion to sums over multidimensional lattices that involve functions with algebraic singularities. This offers a tool for the precise quantification of the effect of microscopic discreteness on macroscopic ...
Buchheit, Andreas A., Keßler, Torsten
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Universality for fluctuations of counting statistics of random normal matrices
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract We consider the fluctuations of the number of eigenvalues of n×n$n\times n$ random normal matrices depending on a potential Q$Q$ in a given set A$A$. The eigenvalues of random normal matrices are known to form a determinantal point process, and are known to accumulate on a compact set called the droplet under mild conditions on Q$Q$. When A$A$
Jordi Marzo +2 more
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The Davenport–Heilbronn method: 80 years on
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract The Davenport–Heilbronn method is a version of the circle method that was developed for studying Diophantine inequalities in the paper (Davenport and Heilbronn, J. Lond. Math. Soc. (1) 21 (1946), 185–193). We discuss the main ideas in the paper, together with an account of the development of the subject in the intervening 80 years.
Tim Browning
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