Coincidences in the values of the Euler and Carmichael functions
Combinatoire du billard dans un polyèdre
Ces notes ont pour but de rassembler les différents résultats de combinatoire des mots relatifs au billard polygonal et polyédral. On commence par rappeler quelques notions de combinatoire, puis on définit le billard, les notions utiles en dynamique et le codage de l’application. On énonce alors les résultats connus en dimension deux puis trois.
Comparing the number of abelian groups and of semisimple rings of a given order
Completely q-multiplicative functions: the Mellin transform approach
Composite positive integers with an average prime factor
Computations concerning the conjecture of Mertens.
Concentration function of additive functions on shifted twin primes
Concentration function of additive functions on shifted twin primes
0. Introduction. The content of this paper is part of the author's Ph.D. thesis. The two new theorems in this paper provide upper bounds on the concentration function of additive functions evaluated on shifted γ-twin prime, where γ is any positive even integers. Both results are generalizations of theorems due to I. Z. Ruzsa, N. M. Timofeev, and P. D. T. A. Elliott.
Consequences of a theorem of Erdős-Prachar.
Construction of normal numbers via pseudo-polynomial prime sequences
We construct normal numbers in base q by concatenating q-ary expansions of pseudo-polynomials evaluated at primes. This extends a recent result by Tichy and the author.
Contributions to the Erdös-Szemerédi theory of sieved integers
Convolutions and Mean Square Estimates of Certain Number-theoretic Error Terms
Correction to the paper "On a kind of uniform distribution of values of multiplicative functions in residue classes", Acta Arithmetica 31(1976), pp. 291-294
Correction to the paper "On power-free numbers and polynomials. II".
Correction to the paper "The divisor problem for (k, r)-integers. II".
Correction to the paper "The number of k-free and k-ary divisors of m which are prime to n".
Correlations of representation functions of binary quadratic forms
Corrigendum to “On short sums of certain multiplicative functions”.
Das Verhalten multiplikativer Funktionen auf gewissen Zahlenfolgen.
Démonstration de l’équation