Publication date
September 2001
DOI Publisher
Academic Press. ISSN
0022-314X Citation count (estimate)
2Abstract
AbstractWe give an upper bound for some exponential sums over primes, using only sieve methods and Chebyshev's estimate on primes
AbstractWe give an upper bound for some exponential sums over primes, using only sieve methods and Chebyshev's estimate on primes
In this paper, we develop a novel analytic method to prove the prime number theorem in de la Vall\'e...
AbstractLet z1, …, zn be complex numbers with ∥zj∥1 for j1, …, n. Then maxv=1,…2n |∑j=1n zvj|⩾12√n...
AbstractIn this paper, we prove a theorem related to the asymptotic formula for ψk(x;q,a) which is u...
AbstractFor a > 0 let ψa(x, y) = ΣaΩ(n), the sum taken over all n, 1 ≤ n ≤ x such that if p is prime...
AbstractIn this paper we modify the usual sieve methods to study the distribution of almost primes i...
We give nontrivial bounds in various ranges for character sums of the form ∑n S(x,y) χ(R1(n))eq(R2...
AbstractLet f(x) be a real valued polynomial in x of degree k⩾4 with leading coefficient α. In this ...
AbstractFor logylog log x → ∞ as x → ∞, ψ(Cx, y) ≈ Cψ(x, y) uniformly for C in compact subsets of (0...
AbstractFor a real x ⩾-1 we denote by Sk[X] the set of k-full integers n ⩽ x, that is, the set of po...
AbstractThe number defined by the title is denoted by Ψ(x, y). Let u = log xlog y and let ϱ(u) be th...
AbstractAsymptotic behaviour of the counting function of Beurling integers is deduced from Chebyshev...
In 2020, Roger Baker \cite{Bak} proved a result on the exceptional set of moduli in the prime number...
AbstractThe main purpose of this paper is using estimates for character sums and analytic methods to...
AbstractFor given n, k, the minimum cardinal of any subset B of [1, n] which meets all of the k-term...
AbstractWe prove a Bombieri–Vinogradov type result for linear exponential sums over primes. Then we ...
In this paper, we develop a novel analytic method to prove the prime number theorem in de la Vall\'e...
AbstractLet z1, …, zn be complex numbers with ∥zj∥1 for j1, …, n. Then maxv=1,…2n |∑j=1n zvj|⩾12√n...
AbstractIn this paper, we prove a theorem related to the asymptotic formula for ψk(x;q,a) which is u...
AbstractFor a > 0 let ψa(x, y) = ΣaΩ(n), the sum taken over all n, 1 ≤ n ≤ x such that if p is prime...
AbstractIn this paper we modify the usual sieve methods to study the distribution of almost primes i...
We give nontrivial bounds in various ranges for character sums of the form ∑n S(x,y) χ(R1(n))eq(R2...
AbstractLet f(x) be a real valued polynomial in x of degree k⩾4 with leading coefficient α. In this ...
AbstractFor logylog log x → ∞ as x → ∞, ψ(Cx, y) ≈ Cψ(x, y) uniformly for C in compact subsets of (0...
AbstractFor a real x ⩾-1 we denote by Sk[X] the set of k-full integers n ⩽ x, that is, the set of po...
AbstractThe number defined by the title is denoted by Ψ(x, y). Let u = log xlog y and let ϱ(u) be th...
AbstractAsymptotic behaviour of the counting function of Beurling integers is deduced from Chebyshev...
In 2020, Roger Baker \cite{Bak} proved a result on the exceptional set of moduli in the prime number...
AbstractThe main purpose of this paper is using estimates for character sums and analytic methods to...
AbstractFor given n, k, the minimum cardinal of any subset B of [1, n] which meets all of the k-term...
AbstractWe prove a Bombieri–Vinogradov type result for linear exponential sums over primes. Then we ...
In this paper, we develop a novel analytic method to prove the prime number theorem in de la Vall\'e...
AbstractLet z1, …, zn be complex numbers with ∥zj∥1 for j1, …, n. Then maxv=1,…2n |∑j=1n zvj|⩾12√n...
AbstractIn this paper, we prove a theorem related to the asymptotic formula for ψk(x;q,a) which is u...
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