We prove that suitable asymptotic formulae in short intervals hold for the problems of representing an integer as a sum of a prime square and a square, or a prime square. Such results are obtained both assuming the Riemann Hypothesis and in the unconditional case
In this thesis, we focus on the problem of primes in short intervals. We will explore the main ingre...
We continue our investigations on the average number of representations of a large positive integer ...
AbstractK. Thanigasalam has shown that for any positive integer k the sequence of positive integers ...
We prove that suitable asymptotic formulae in short intervals hold for the problems of representing ...
We prove that suitable asymptotic formulae in short intervals hold for the problems of representing ...
We improve some results about the asymptotic formulae in short intervals for the average number of r...
Under the assumption of the Riemann Hypothesis, we prove explicit quantitative relations between hyp...
Let k 651 be an integer. We prove that a suitable asymptotic formula for the average number of repre...
In this paper, we shall establish a rather general asymptotic formula in short intervals for a class...
We prove a short intervals version of the well known Montgomery-Hooley asymptotic formula for the me...
In this article, we study sums related to the Lehmer problem over short intervals, and give two asym...
The problem of representing odd integers as the sum of a prime and a power of two is investigated us...
Suppose that the Riemann hypothesis holds. Suppose that ψ₁(x) = ∑ Λ(n), n≤x {(1/2)n¹/ᶜ}N½⁺¹⁰ᵋ, ε > 0...
Assuming the Riemann Hypothesis we prove that the interval [N, N + H] contains an integer which is a...
We prove the analog of Cramer's short intervals theorem for primes in arithmetic progressions and pr...
In this thesis, we focus on the problem of primes in short intervals. We will explore the main ingre...
We continue our investigations on the average number of representations of a large positive integer ...
AbstractK. Thanigasalam has shown that for any positive integer k the sequence of positive integers ...
We prove that suitable asymptotic formulae in short intervals hold for the problems of representing ...
We prove that suitable asymptotic formulae in short intervals hold for the problems of representing ...
We improve some results about the asymptotic formulae in short intervals for the average number of r...
Under the assumption of the Riemann Hypothesis, we prove explicit quantitative relations between hyp...
Let k 651 be an integer. We prove that a suitable asymptotic formula for the average number of repre...
In this paper, we shall establish a rather general asymptotic formula in short intervals for a class...
We prove a short intervals version of the well known Montgomery-Hooley asymptotic formula for the me...
In this article, we study sums related to the Lehmer problem over short intervals, and give two asym...
The problem of representing odd integers as the sum of a prime and a power of two is investigated us...
Suppose that the Riemann hypothesis holds. Suppose that ψ₁(x) = ∑ Λ(n), n≤x {(1/2)n¹/ᶜ}N½⁺¹⁰ᵋ, ε > 0...
Assuming the Riemann Hypothesis we prove that the interval [N, N + H] contains an integer which is a...
We prove the analog of Cramer's short intervals theorem for primes in arithmetic progressions and pr...
In this thesis, we focus on the problem of primes in short intervals. We will explore the main ingre...
We continue our investigations on the average number of representations of a large positive integer ...
AbstractK. Thanigasalam has shown that for any positive integer k the sequence of positive integers ...
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