On the fourth moment in the Rankin-Selberg problem期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

On the fourth moment in the Rankin-Selberg problem

Authors:

Aleksandar Ivić

Affiliation:

(1) Katedra Matematike RGF-a, Universitet u Beogradu, Dušina 7, 11000 Beograd, Serbia

Abstract:

$Delta(x) := sumlimits_{n{leq}x}c_n - C_x$

denotes the error term in the classical Rankin-Selberg problem, then it is proved that

$intlimits^X_0 {Delta}^4(x)dx, {ll}_{varepsilon}, X^{3+varepsilon},quad intlimits^X_0 {Delta}^4_1(x)dx, {ll}_{varepsilon}, X^{11/2+varepsilon},$

where Δ₁(x) = ∫^x ₀ Δ(u)du. The latter bound is, up to ‘ɛ’, best possible. Received: 8 February 2007

Keywords:

本文献已被 SpringerLink 等数据库收录！

设为首页 | 免责声明 | 关于勤云 | 加入收藏