Add to ORKGDedicated to my parents Hédi and Wiem for their endless support, with love.International audienceLet q >= 2 be an integer and S-q(n) denote the sum of the digits in base q of the positive integer n. We look for an estimate of the average of some multiplicative arithmetical functions defined by sums over divisors d of n satisfying S-q(d(2)) r mod m for some integers r and m
Abstract. The aim of the present paper is to generalize earlier work by Thuswald-ner and Tichy on Wa...
International audienceFor $q\geqslant 2$, let $s_q(n)$ denote the sum of digits of an integer $n$ in...
In this paper we extend and improve our results on weighted averages for the number of representatio...
Abstract. In this paper, we will present problems involving av erage values of arithmetic functions....
Let α(n) denote the Fourier coefficients of cusp forms or the number of divisors of n. Estimates of ...
The divisor function $\tau(n)$ counts the number of positive divisors of an integer n. We are concer...
We consider very short sums of the divisor function in arithmetic progressions prime to a fixed modu...
We consider very short sums of the divisor function in arithmetic progressions prime to a fixed modu...
We consider very short sums of the divisor function in arithmetic progressions prime to a fixed modu...
L'objet de cette thèse est l'étude de certaines propriétés arithmétiques et combinatoires de la fonc...
L'objet de cette thèse est l'étude de certaines propriétés arithmétiques et combinatoires de la fonc...
AbstractIt is shown that certain commonly occurring conditions may be factored out of sums of multip...
Let S be a set of positive integers and g be a multiplicative function. Consider the problem of esti...
Abstract. We consider the set of squares n2, n < 2k, and split up the sum of binary digits s(n2) ...
This thesis gives some order estimates and asymptotic formulae associated with general classes of no...
Abstract. The aim of the present paper is to generalize earlier work by Thuswald-ner and Tichy on Wa...
International audienceFor $q\geqslant 2$, let $s_q(n)$ denote the sum of digits of an integer $n$ in...
In this paper we extend and improve our results on weighted averages for the number of representatio...
Abstract. In this paper, we will present problems involving av erage values of arithmetic functions....
Let α(n) denote the Fourier coefficients of cusp forms or the number of divisors of n. Estimates of ...
The divisor function $\tau(n)$ counts the number of positive divisors of an integer n. We are concer...
We consider very short sums of the divisor function in arithmetic progressions prime to a fixed modu...
We consider very short sums of the divisor function in arithmetic progressions prime to a fixed modu...
We consider very short sums of the divisor function in arithmetic progressions prime to a fixed modu...
L'objet de cette thèse est l'étude de certaines propriétés arithmétiques et combinatoires de la fonc...
L'objet de cette thèse est l'étude de certaines propriétés arithmétiques et combinatoires de la fonc...
AbstractIt is shown that certain commonly occurring conditions may be factored out of sums of multip...
Let S be a set of positive integers and g be a multiplicative function. Consider the problem of esti...
Abstract. We consider the set of squares n2, n < 2k, and split up the sum of binary digits s(n2) ...
This thesis gives some order estimates and asymptotic formulae associated with general classes of no...
Abstract. The aim of the present paper is to generalize earlier work by Thuswald-ner and Tichy on Wa...
International audienceFor $q\geqslant 2$, let $s_q(n)$ denote the sum of digits of an integer $n$ in...
In this paper we extend and improve our results on weighted averages for the number of representatio...