andrica, dorin bagdasar, ovidiu
Cyclotomic polynomials play an imporant role in discrete mathematics. Recently, inverse cyclotomic polynomials have been defined and investigated. In this paper, we present some recent advances related to the coefficients of inverse cyclotomic polynomials, including a practical recursive formula for their calculation and numerical simulations.
Ačko, Špela
V diplomski nalogi podrobneje spoznamo Möbiusovo funkcijo na delno urejenih množicah in izrek o Möbiusovi inverziji - pomembno orodje za invertiranje določenih funkcijskih vsot in s tem za preštevanje elementov. Möbiusova funkcija ima nekatere zanimive lastnosti, ki nam pomagajo izračunati njen predpis, posebej zanimiva pa je na mrežah. To si v del...
Ramaré, Olivier Viswanadham, G. K.
Published in
Proceedings of the Steklov Institute of Mathematics
Abstract Our initial problem is to represent classes \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$m$$\end{document} modulo \documentclass[12pt]{minimal} \usepackage{...
El Abdalaoui, El Houcein Devianne, Joseph
We prove that any dendrite map for which the set of endpoints is closed and countable fulfilled Sarnak Möbius disjointness. This extended a result by el Abdalaoui-Askri and Marzougui [1]. We further notice that the Smital-Ruelle property can be extended to the class of dendrites with closed and countable endpoints.
Irmatov, A. A.
Published in
Doklady Mathematics
AbstractTwo results concerning the number \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$P(2,n)$$\end{document} of threshold functions and the singularity probability ...
Bretèche, Régis de la Dress, François Tenenbaum, Gerald
International audience
Marc, Wolf François, Wolf François-Xavier, Villemin
We study pairs of consecutive odd numbers through a straightforward indexing. We focus in particular on twin primes and their distribution. With a counting argument, we calculate the limit of an alternating sum that is equal to 1 which means there are few twin primes. Finally, we show how to find the possible congruences for these prime numbers.
De La Bretèche, Régis Tenenbaum, Gérald
We investigate Sarnak's conjecture on the M\"obius function in the special case when the test function is the indicator of the set of integers for which a real additive function assumes a given value.
Caicedo, Jhon Bladimir González D'León, Rafael S.
Lecture notes of the minicourse “Introduction to partially ordered sets and lattices”. A great part of these notes is based on the work and lecture notes by Richard Stanley [5, Capítulo 3] and Federico Ardila [1, Sección 4] for the part on partially ordered sets, and on the lecture notes of Michelle Wachs [8] for the poset topology part / Notas de ...
Marc, Wolf François, Wolf François-Xavier, Villemin
We study odd numbers through a straightforward indexing. We focus in particular on odd prime and composite numbers and their distribution. With a counting argument, we calculate the limit of two sums and compare their convergence rate.
