Publication date
October 2005
DOIAbstract
In this article, we study short intervals that contain “almost squares” of the type: any integer n which can be factored in two different ways n = a1b1 = a2b2 with a1, a2, b1, b2 close to √
In this article, we study short intervals that contain “almost squares” of the type: any integer n which can be factored in two different ways n = a1b1 = a2b2 with a1, a2, b1, b2 close to √
International audienceA square is the concatenation of a nonempty word with itself. A word has perio...
AbstractThe main purpose of this paper is to introduce a numerical method for the computation of cub...
We prove new lower bounds on large gaps between integers that are sums of two squares or are represe...
We show that there is no square other than 122 and 7202 such that it can be written as a product of ...
Analytic Number Theory: In Honor of Helmut Maier’s 60th Birthday. We show that there are short inter...
AbstractWe form squares from the product of integers in a short interval [n, n + tn], where we inclu...
Let Ek be the set of positive integers having exactly k prime factors. We show that almost all inter...
We use the theory of exponent pairs and Vaaler polynomials to show that any interval of the form [x,...
The "almost-squares in almost-squares" (Asqas) problem is a rectangle packing problem in which a ser...
reduce to searching for squares in specific sequences. For instance, we would like to know whether t...
The main purpose of this paper is to introduce a numerical method for the computation of cubature ru...
It is proved that a product of four or more terms of positive integers in arithmetic progression wit...
summary:We prove that almost all positive even integers $n$ can be represented as $p_{2}^{2}+p_{3}^{...
Consider a random sequence of N integers, each chosen uniformly and independently from the set [1,.....
summary:Let $\mathcal {P}_r$ denote an almost-prime with at most $r$ prime factors, counted accordin...
International audienceA square is the concatenation of a nonempty word with itself. A word has perio...
AbstractThe main purpose of this paper is to introduce a numerical method for the computation of cub...
We prove new lower bounds on large gaps between integers that are sums of two squares or are represe...
We show that there is no square other than 122 and 7202 such that it can be written as a product of ...
Analytic Number Theory: In Honor of Helmut Maier’s 60th Birthday. We show that there are short inter...
AbstractWe form squares from the product of integers in a short interval [n, n + tn], where we inclu...
Let Ek be the set of positive integers having exactly k prime factors. We show that almost all inter...
We use the theory of exponent pairs and Vaaler polynomials to show that any interval of the form [x,...
The "almost-squares in almost-squares" (Asqas) problem is a rectangle packing problem in which a ser...
reduce to searching for squares in specific sequences. For instance, we would like to know whether t...
The main purpose of this paper is to introduce a numerical method for the computation of cubature ru...
It is proved that a product of four or more terms of positive integers in arithmetic progression wit...
summary:We prove that almost all positive even integers $n$ can be represented as $p_{2}^{2}+p_{3}^{...
Consider a random sequence of N integers, each chosen uniformly and independently from the set [1,.....
summary:Let $\mathcal {P}_r$ denote an almost-prime with at most $r$ prime factors, counted accordin...
International audienceA square is the concatenation of a nonempty word with itself. A word has perio...
AbstractThe main purpose of this paper is to introduce a numerical method for the computation of cub...
We prove new lower bounds on large gaps between integers that are sums of two squares or are represe...
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