Schwache asymptotische Eigenschaften schnellwachsender multiplikativer zahlentheoretischer Funktionen.
Semi-k-free Integers.
Shifted values of the largest prime factor function and its average value in short intervals
We obtain estimates for the average value of the largest prime factor P(n) in short intervals [x,x+y] and of h(P(n)+1), where h is a complex-valued additive function or multiplicative function satisfying certain conditions. Letting stand for the sum of the digits of n in base q ≥ 2, we show that if α is an irrational number, then the sequence is uniformly distributed modulo 1.
Short sums of restricted Möbius functions
Sieve methods and class-number problems. I.
Small values of the Euler function and the Riemann hypothesis
Some applications of Elliot's mean-value theorem.
Some arithmetic functions involving exponential divisors.
Some asymptotic formulas on generalized divisor functions, III
Some new estimates in the Dirichlet divisor problem
Some problems about the ternary quadratic form m₁² + m₂² + m₃²
Some problems in number theory that arise from group theory.
In this expository paper, we present several open problerns in number theory that have arisen while doing research in group theory. These problems are on arithmetical functions or partitions. Solving some of these problems would allow to solve some open problem in group theory.[Proceedings of the Primeras Jornadas de Teoría de Números (Vilanova i la Geltrú (Barcelona), 30 June - 2 July 2005)].
Some remarks on a paper of L. Tóth.
Some remarks on factorization in algebraic number fields
Some results in number theory, I
Some -results related to the fourth power moment of the Riemann zeta-function and to the additive divisor problem
We improve the “two-sided” omega results in the fourth power mean problem for the Riemann zeta-function and in the additive divisor problem.
Sommes de carrés de polynômes irréductibles dans
Sommes de diviseurs et structure multiplicative des entiers
Sommes de Reciproques de Grandes Fonctions Additives
Sommes d'exponentielles et principe de l'hyperbole