We have observed the inequalities on number theoretic functions and one can easily find out the maximum and minimum fluctuations in a defined range
International audienceWe here propose some new algorithms to compute bounds for (1) cumulative densi...
summary:If $P$ is the Hardy averaging operator - or some of its generalizations, then weighted modul...
Abstracthis paper presents concentration inequalities and laws of large numbers under weak assumptio...
AbstractThe nth cyclic function is defined byϕn(z)=∑ν=0∞znν(nν)!(z∈C,2⩽n∈N). We prove that if k is a...
We give certain optimal inequalities for the divisor function. Such inequalities are useful in estim...
International audienceA key tool in recent advances in understanding arithmetic progressions and oth...
In this article we will prove some inequalities checked by functions of bounded variations and then ...
The function of defined to be the sum of all positive integer divisors of n. This dissertation is a ...
This paper presents concentration inequalities and laws of large numbers under weak assumptions of i...
In this paper some new inequalities for the Čebyšev functional are presented. They have applications...
Inequalities involving the Euler zeta function are proved. Applications of the inequalities in estim...
In this paper we find some inequalities concerning π(x) by considering some known inequalities invo...
We study questions in three arithmetic settings, each of which carries aspects of random-like behavi...
Abstract. A key tool in recent advances in understanding arithmetic progres-sions and other patterns...
In this paper we establish a variety of square function inequalities and study other operators which...
International audienceWe here propose some new algorithms to compute bounds for (1) cumulative densi...
summary:If $P$ is the Hardy averaging operator - or some of its generalizations, then weighted modul...
Abstracthis paper presents concentration inequalities and laws of large numbers under weak assumptio...
AbstractThe nth cyclic function is defined byϕn(z)=∑ν=0∞znν(nν)!(z∈C,2⩽n∈N). We prove that if k is a...
We give certain optimal inequalities for the divisor function. Such inequalities are useful in estim...
International audienceA key tool in recent advances in understanding arithmetic progressions and oth...
In this article we will prove some inequalities checked by functions of bounded variations and then ...
The function of defined to be the sum of all positive integer divisors of n. This dissertation is a ...
This paper presents concentration inequalities and laws of large numbers under weak assumptions of i...
In this paper some new inequalities for the Čebyšev functional are presented. They have applications...
Inequalities involving the Euler zeta function are proved. Applications of the inequalities in estim...
In this paper we find some inequalities concerning π(x) by considering some known inequalities invo...
We study questions in three arithmetic settings, each of which carries aspects of random-like behavi...
Abstract. A key tool in recent advances in understanding arithmetic progres-sions and other patterns...
In this paper we establish a variety of square function inequalities and study other operators which...
International audienceWe here propose some new algorithms to compute bounds for (1) cumulative densi...
summary:If $P$ is the Hardy averaging operator - or some of its generalizations, then weighted modul...
Abstracthis paper presents concentration inequalities and laws of large numbers under weak assumptio...