AbstractWe study, under the assumption of the Generalized Riemann Hypothesis, the individual and mean-square error terms for the number of integers representable as a sum of k⩾3 primes. We improve, using a smoothing technique, Friedlander–Goldston's recent results on this topic. Moreover, we remark that the argument we use can also be applied to other similar problems
We denote by ψ(x; q, a) the sum of Λ(n)/n for all n≤x and congruent to a mod q and similarly by ψ(x;...
We denote by ψ(x; q, a) the sum of Λ(n)/n for all n≤x and congruent to a mod q and similarly by ψ(x;...
In this paper, we prove that with at most O (N1271/1296+ε) exceptions, all positive integers up to N...
AbstractAssuming that the Generalized Riemann Hypothesis (GRH) holds, we prove an explicit formula f...
We study, under the assumption of the Generalized Riemann Hypothesis, the individual and mean-sq...
We study, under the assumption of the Generalized Riemann Hypothesis, the individual and mean-sq...
AbstractWe study, under the assumption of the Generalized Riemann Hypothesis, the individual and mea...
AbstractIn this paper we continue our study, begun in G. Harman and A.V. Kumchev (2006) [10], of the...
We relate the size of the error term in the Hardy-Littlewood conjectured formula for the number of p...
Subject to the Riemann hypothesis for Dirichlet L-functions an asymptotic formula is obtained for th...
We prove an explicit error term for the psi(x, chi) function assuming the Generalized Riemann Hypoth...
Gerard and Washington proved that, for k > -1, the number of primes less than xk+1 can be well ap...
We prove an explicit error term for the psi(x, chi) function assuming the Generalized Riemann Hypoth...
Gerard and Washington proved that, for k > -1, the number of primes less than xk+1 can be well ap...
We continue our work on averages for ternary additive problems with powers of prime numbers in short...
We denote by ψ(x; q, a) the sum of Λ(n)/n for all n≤x and congruent to a mod q and similarly by ψ(x;...
We denote by ψ(x; q, a) the sum of Λ(n)/n for all n≤x and congruent to a mod q and similarly by ψ(x;...
In this paper, we prove that with at most O (N1271/1296+ε) exceptions, all positive integers up to N...
AbstractAssuming that the Generalized Riemann Hypothesis (GRH) holds, we prove an explicit formula f...
We study, under the assumption of the Generalized Riemann Hypothesis, the individual and mean-sq...
We study, under the assumption of the Generalized Riemann Hypothesis, the individual and mean-sq...
AbstractWe study, under the assumption of the Generalized Riemann Hypothesis, the individual and mea...
AbstractIn this paper we continue our study, begun in G. Harman and A.V. Kumchev (2006) [10], of the...
We relate the size of the error term in the Hardy-Littlewood conjectured formula for the number of p...
Subject to the Riemann hypothesis for Dirichlet L-functions an asymptotic formula is obtained for th...
We prove an explicit error term for the psi(x, chi) function assuming the Generalized Riemann Hypoth...
Gerard and Washington proved that, for k > -1, the number of primes less than xk+1 can be well ap...
We prove an explicit error term for the psi(x, chi) function assuming the Generalized Riemann Hypoth...
Gerard and Washington proved that, for k > -1, the number of primes less than xk+1 can be well ap...
We continue our work on averages for ternary additive problems with powers of prime numbers in short...
We denote by ψ(x; q, a) the sum of Λ(n)/n for all n≤x and congruent to a mod q and similarly by ψ(x;...
We denote by ψ(x; q, a) the sum of Λ(n)/n for all n≤x and congruent to a mod q and similarly by ψ(x;...
In this paper, we prove that with at most O (N1271/1296+ε) exceptions, all positive integers up to N...
DOI
Add to ORKG