Add to ORKGAnalytic Number Theory: In Honor of Helmut Maier’s 60th Birthday. We show that there are short intervals [x, x + y] containing ≫ y 1∕10 numbers expressible as the sum of two squares, which is many more than the average when y=o((logx)5/9)y=o((logx)5/9). We obtain similar results for sums of two squares in short arithmetic progressions
Under the assumption of the Riemann Hypothesis, we prove explicit quantitative relations between hyp...
We prove new lower bounds on large gaps between integers that are sums of two squares or are represe...
In this article, we study sums related to the Lehmer problem over short intervals, and give two asym...
Analytic Number Theory: In Honor of Helmut Maier’s 60th Birthday. We show that there are short inter...
Let k 651 be an integer. We prove that a suitable asymptotic formula for the average number of repre...
Assuming the Riemann Hypothesis we prove that the interval $[N,N+H]$ contains an integer which ...
AbstractIt is proved that for given unequal positive numbers h, k there exist infinitely many natura...
Abstract. I will investigate which numbers can be written as the sum of two squares and in how many ...
We use the theory of exponent pairs and Vaaler polynomials to show that any interval of the form [x,...
We prove that suitable asymptotic formulae in short intervals hold for the problems of representing ...
Dedicat a la memòria d’en Ferran Serrano We use hyperbolic geometry to study the limiting behavior ...
In this article, we study short intervals that contain “almost squares” of the type: any integer n w...
We prove that suitable asymptotic formulae in short intervals hold for the problems of representing ...
Abstract. We establish that, for almost all natural numbers N, there is a sum of two positive integr...
International audienceIn this paper, we shall establish a rather general asymptotic formula in short...
Under the assumption of the Riemann Hypothesis, we prove explicit quantitative relations between hyp...
We prove new lower bounds on large gaps between integers that are sums of two squares or are represe...
In this article, we study sums related to the Lehmer problem over short intervals, and give two asym...
Analytic Number Theory: In Honor of Helmut Maier’s 60th Birthday. We show that there are short inter...
Let k 651 be an integer. We prove that a suitable asymptotic formula for the average number of repre...
Assuming the Riemann Hypothesis we prove that the interval $[N,N+H]$ contains an integer which ...
AbstractIt is proved that for given unequal positive numbers h, k there exist infinitely many natura...
Abstract. I will investigate which numbers can be written as the sum of two squares and in how many ...
We use the theory of exponent pairs and Vaaler polynomials to show that any interval of the form [x,...
We prove that suitable asymptotic formulae in short intervals hold for the problems of representing ...
Dedicat a la memòria d’en Ferran Serrano We use hyperbolic geometry to study the limiting behavior ...
In this article, we study short intervals that contain “almost squares” of the type: any integer n w...
We prove that suitable asymptotic formulae in short intervals hold for the problems of representing ...
Abstract. We establish that, for almost all natural numbers N, there is a sum of two positive integr...
International audienceIn this paper, we shall establish a rather general asymptotic formula in short...
Under the assumption of the Riemann Hypothesis, we prove explicit quantitative relations between hyp...
We prove new lower bounds on large gaps between integers that are sums of two squares or are represe...
In this article, we study sums related to the Lehmer problem over short intervals, and give two asym...