AbstractLetn>2 be an integer, and for each integer 0<a<nwith (a, n)=1, defineāby the congruenceaā≡1 (modn) and 0<ā<n. The main purpose of this paper is to study the distribution behaviour of |a−ā|,[formula]whereφ(n) is the Euler function, and #{…} denotes the number of elements of the set {…}
AbstractWe obtain the asymptotic number of labeled trounaments with a given score sequence in the ca...
AbstractLet μ be a finite positive Borel measure supported on [-1,1] and introduce the discrete Sobo...
Contains a correction with respect to the printed versionWe provide sharp estimates for the number o...
AbstractIn this paper we study the distribution modulo 1 of the sequence of vectors (pα1, …, pαk), w...
AbstractAn asymptotic formula for the mean square of the remainder termΔa(x) is obtained for −1<a<−1...
AbstractLetM(n) be the largest integer that can be expressed as a sum of the reciprocal of distinct ...
AbstractLetp(z)=1+∑nj=1bjzjbe a complex polynomial. Two theorems on the coefficients and zeros ofp(z...
We modify the recent method of J.-M. Deshouillers and H. Iwaniec in the theory of uniform distributi...
AbstractIt is shown that the following probability density function2π1∏n=1∞(1+x2/n2)is an infinitely...
AbstractThis paper deals with a lower estimate for the general asymmetric divisor problem. Continuin...
International audienceIt is well known that the sequence $\varphi(n)/n$, n=1,2,... has a singular as...
AbstractThe main purpose of this paper is using a mean value theorem of Dirichlet L-functions to stu...
AbstractLet rs(n) denote the number of representations of n as the sum of s squares of integers. In ...
AbstractLet fbe an absolutely continuous function on [0,1] satisfying f′∈Lp[0,1], p>1, Qn-be the set...
AbstractIn this paper, we use the properties of Gauss sums, primitive characters and the mean value ...
AbstractWe obtain the asymptotic number of labeled trounaments with a given score sequence in the ca...
AbstractLet μ be a finite positive Borel measure supported on [-1,1] and introduce the discrete Sobo...
Contains a correction with respect to the printed versionWe provide sharp estimates for the number o...
AbstractIn this paper we study the distribution modulo 1 of the sequence of vectors (pα1, …, pαk), w...
AbstractAn asymptotic formula for the mean square of the remainder termΔa(x) is obtained for −1<a<−1...
AbstractLetM(n) be the largest integer that can be expressed as a sum of the reciprocal of distinct ...
AbstractLetp(z)=1+∑nj=1bjzjbe a complex polynomial. Two theorems on the coefficients and zeros ofp(z...
We modify the recent method of J.-M. Deshouillers and H. Iwaniec in the theory of uniform distributi...
AbstractIt is shown that the following probability density function2π1∏n=1∞(1+x2/n2)is an infinitely...
AbstractThis paper deals with a lower estimate for the general asymmetric divisor problem. Continuin...
International audienceIt is well known that the sequence $\varphi(n)/n$, n=1,2,... has a singular as...
AbstractThe main purpose of this paper is using a mean value theorem of Dirichlet L-functions to stu...
AbstractLet rs(n) denote the number of representations of n as the sum of s squares of integers. In ...
AbstractLet fbe an absolutely continuous function on [0,1] satisfying f′∈Lp[0,1], p>1, Qn-be the set...
AbstractIn this paper, we use the properties of Gauss sums, primitive characters and the mean value ...
AbstractWe obtain the asymptotic number of labeled trounaments with a given score sequence in the ca...
AbstractLet μ be a finite positive Borel measure supported on [-1,1] and introduce the discrete Sobo...
Contains a correction with respect to the printed versionWe provide sharp estimates for the number o...
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