investigate the error term of the asymptotic formula for the number of squarefree integers up to some bound, and lying in some arithmetic progression a (mod q). In particular, we prove an upper bound for its variance as a varies over (Z/qZ)(x) which considerably improves upon earlier work of Blomer
AbstractIn a recent paper, K. Soundararajan showed, roughly speaking, that the integers smaller than...
The nonlinear congruential method is an attractive alternative to the classical linear congruential ...
AbstractLet p(n) be the number of partitions of a non-negative integer n. In this paper we prove tha...
AbstractThe author gives remainder estimates for squarefree integers in arithmetic progressions corr...
Cette thèse concerne quelques problèmes liés à la répartition des entiers sans facteur carré dansles...
summary:In this paper we establish the distribution of prime numbers in a given arithmetic progressi...
We prove an asymptotic formula for squarefree numbers in arithmetic progressions, improving previous...
Abstract: Consider the number of squarefree integers in a randomly chosen short interval. In this t...
Abstract: Consider the number of squarefree integers in a randomly chosen short interval. In this t...
Let $[t]$ be the integral part of the real number $t$.The aim of this short note is to study the dis...
summary:In this paper we establish the distribution of prime numbers in a given arithmetic progressi...
summary:In this paper we establish the distribution of prime numbers in a given arithmetic progressi...
AbstractIn this paper we obtain an improved asymptotic formula on the frequency of k-free numbers wi...
We study the equidistribution of multiplicatively defined sets, such as the squarefree integers, qua...
: We show that, for any fixed " ? 0, there are asymptotically the same number of integers up to...
AbstractIn a recent paper, K. Soundararajan showed, roughly speaking, that the integers smaller than...
The nonlinear congruential method is an attractive alternative to the classical linear congruential ...
AbstractLet p(n) be the number of partitions of a non-negative integer n. In this paper we prove tha...
AbstractThe author gives remainder estimates for squarefree integers in arithmetic progressions corr...
Cette thèse concerne quelques problèmes liés à la répartition des entiers sans facteur carré dansles...
summary:In this paper we establish the distribution of prime numbers in a given arithmetic progressi...
We prove an asymptotic formula for squarefree numbers in arithmetic progressions, improving previous...
Abstract: Consider the number of squarefree integers in a randomly chosen short interval. In this t...
Abstract: Consider the number of squarefree integers in a randomly chosen short interval. In this t...
Let $[t]$ be the integral part of the real number $t$.The aim of this short note is to study the dis...
summary:In this paper we establish the distribution of prime numbers in a given arithmetic progressi...
summary:In this paper we establish the distribution of prime numbers in a given arithmetic progressi...
AbstractIn this paper we obtain an improved asymptotic formula on the frequency of k-free numbers wi...
We study the equidistribution of multiplicatively defined sets, such as the squarefree integers, qua...
: We show that, for any fixed " ? 0, there are asymptotically the same number of integers up to...
AbstractIn a recent paper, K. Soundararajan showed, roughly speaking, that the integers smaller than...
The nonlinear congruential method is an attractive alternative to the classical linear congruential ...
AbstractLet p(n) be the number of partitions of a non-negative integer n. In this paper we prove tha...
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