International audienceIn this paper, we shall establish a rather general asymptotic formula in short intervals for a classe of arithmetic functions and announce two applications about the distribution of divisors of square-full numbers and integers representable as sums of two squares
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...
this paper so that, in particular, our results do not depend on the use of exponential sums. We shal...
In this paper, we shall establish a rather general asymptotic formula in short intervals for a class...
AbstractWe obtain, for quadratic and cyclotimic fields, asymptotic formulas for two arithmetic funct...
We prove that suitable asymptotic formulae in short intervals hold for the problems of representing ...
We prove that suitable asymptotic formulae in short intervals hold for the problems of representing ...
In this paper, we introduce a new arithmetic function r sp(n) which we called the simple divisor fun...
We prove a short intervals version of the well known Montgomery-Hooley asymptotic formula for the me...
© 2016, Hebrew University of Jerusalem. We investigate the behavior of the divisor function in both ...
AbstractAn asymptotic formula for the mean square of the remainder termΔa(x) is obtained for −1<a<−1...
Abstract The main purpose of this paper is using elementary method to study a new arith-metic functi...
Let k 651 be an integer. We prove that a suitable asymptotic formula for the average number of repre...
AbstractIn this paper we prove (in a rather more precise form) two conjectures of P. Erdös about the...
Abstract The main purpose of this paper is using the elementary and the analytic methods to study th...
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...
this paper so that, in particular, our results do not depend on the use of exponential sums. We shal...
In this paper, we shall establish a rather general asymptotic formula in short intervals for a class...
AbstractWe obtain, for quadratic and cyclotimic fields, asymptotic formulas for two arithmetic funct...
We prove that suitable asymptotic formulae in short intervals hold for the problems of representing ...
We prove that suitable asymptotic formulae in short intervals hold for the problems of representing ...
In this paper, we introduce a new arithmetic function r sp(n) which we called the simple divisor fun...
We prove a short intervals version of the well known Montgomery-Hooley asymptotic formula for the me...
© 2016, Hebrew University of Jerusalem. We investigate the behavior of the divisor function in both ...
AbstractAn asymptotic formula for the mean square of the remainder termΔa(x) is obtained for −1<a<−1...
Abstract The main purpose of this paper is using elementary method to study a new arith-metic functi...
Let k 651 be an integer. We prove that a suitable asymptotic formula for the average number of repre...
AbstractIn this paper we prove (in a rather more precise form) two conjectures of P. Erdös about the...
Abstract The main purpose of this paper is using the elementary and the analytic methods to study th...
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...
this paper so that, in particular, our results do not depend on the use of exponential sums. We shal...
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