Results 1 to 10 of about 47,950 (75)

Approximation of classes of Poisson integrals by Fejer means

Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2023
The work is devoted to the investigation of problem of approximation of continuous periodic functions by trigonometric polynomials, which are generated by linear methods of summation of Fourier series.
O. G. Rovenska
doaj   +1 more source

Approximation of analytic functions by repeated de la Vallee Poussin sums [PDF]

Компьютерные исследования и моделирование, 2019
The paper deals with the problems of approximation of periodic functions of high smoothness by arithmetic means of Fourier sums. The simplest and natural example of a linear process of approximation of continuous periodic functions of a real variable is ...
Olga G Rovenska
doaj   +1 more source

Divisors and square-free divisors involving the floor function [PDF]

Notes on Number Theory and Discrete Mathematics
Let τ(n) (respectively, τ#(n)) be the number of divisors (respectively, square free divisors) of natural number n, and let [t] be the integral part of real number t.
B. Feng, J. Wu
doaj   +1 more source

Computing hypergeometric functions rigorously [PDF]

, 2016
We present an efficient implementation of hypergeometric functions in arbitrary-precision interval arithmetic. The functions ${}_0F_1$, ${}_1F_1$, ${}_2F_1$ and ${}_2F_0$ (or the Kummer $U$-function) are supported for unrestricted complex parameters and ...
Johansson, Fredrik
core   +5 more sources

Chebyshev's bias for products of irreducible polynomials

, 2020
For any $k\geq 1$, this paper studies the number of polynomials having $k$ irreducible factors (counted with or without multiplicities) in $\mathbf{F}_q[t]$ among different arithmetic progressions.
Devin, Lucile, Meng, Xianchang
core   +3 more sources

Representation growth and representation zeta functions of groups [PDF]

, 2012
We give a short introduction to the subject of representation growth and representation zeta functions of groups, omitting all proofs. Our focus is on results which are relevant to the study of arithmetic groups in semisimple algebraic groups, such as ...
Klopsch, Benjamin
core   +3 more sources

The shifted convolution of generalized divisor functions [PDF]

, 2016
We prove an asymptotic formula for the shifted convolution of the divisor functions $d_k(n)$ and $d(n)$ with $k \geq 4$, which is uniform in the shift parameter and which has a power-saving error term, improving results obtained previously by Fouvry and ...
Topacogullari, Berke
core   +2 more sources

Counting and effective rigidity in algebra and geometry

, 2018
The purpose of this article is to produce effective versions of some rigidity results in algebra and geometry. On the geometric side, we focus on the spectrum of primitive geodesic lengths (resp., complex lengths) for arithmetic hyperbolic 2-manifolds ...
A Borel, A Borel, A Lubotzky, A Lubotzky, A Lubotzky, A Macbeath, A Pethő, AM Odlyzko, AS Golsefidy, AW Reid, AW Reid, B Brindza, B Datskovsky, B Linowitz, B Linowitz, B Linowitz, B Linowitz, Benjamin Linowitz, C Maclachlan, C Maclachlan, C Millichap, C Millichap, D Futer, D Goldfeld, D Goldfeld, D. B. McReynolds, DA Marcus, DB McReynolds, DB McReynolds, E Artin, E Wirsing, G Prasad, GA Margulis, GA Margulis, GH Hardy, H Cohen, H Cohen, H Cohn, H Davenport, H Delange, H Delange, H Huber, I Reiner, J Neukirch, J Tits, J-P Serre, JC Lagarias, JS Meyer, JWS Cassels, K Takeuchi, L Hajdu, Lola Thompson, M Belolipetsky, M Belolipetsky, M Belolipetsky, M Bhargava, M Burger, M Larsen, M Liebeck, M-F Vignéras, MM Wood, MS Raghunathan, P Buser, Paul Pollack, R Gangolli, RS Pierce, S Brueggeman, S Lang, S Louboutin, S Wang, T Chinburg, T Chinburg, T Chinburg, T Chinburg, T Chinburg, T Gelander, T Gelander, T Sunada, TM Apostol, V Platonov, VI Chernousov, W Rudin, WP Thurston   +82 more
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Geometric Mean Curvature Lines on Surfaces Immersed in R3 [PDF]

, 2002
Here are studied pairs of transversal foliations with singularities, defined on the Elliptic region (where the Gaussian curvature $\mathcal K$ is positive) of an oriented surface immersed in $\mathbb R^3$.
Garcia, Ronaldo, Sotomayor, Jorge
core   +3 more sources

On Complex Dimensions and Heat Content of Self-Similar Fractals

Fractal and Fractional
Complex fractal dimensions, defined as poles of appropriate fractal zeta functions, describe the geometric oscillations in fractal sets. In this work, we show that the same possible complex dimensions in the geometric setting also govern the asymptotics ...
William E. Hoffer, Michel L. Lapidus
doaj   +1 more source