Upper bounds for Lq norms of Dirichlet polynomials with small q

被引：4

作者：

Heap, Winston ^{[1
]}

机构：

[1] UCL, Dept Math, 25 Gordon St, London WC1H, England

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2018年 / 275卷 / 09期

基金：

欧洲研究理事会;

关键词：

Dirichlet polynomial; Norms; Riemann zeta function; Moments; RIEMANN ZETA-FUNCTION;

D O I：

10.1016/j.jfa.2018.05.004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We improve on previous upper bounds for the qth norm of the partial sums of the Riemann zeta function on the half line when 0 < q <= 1. In particular, we show that the 1-norm is bounded above by (log N)(1/4)(log log N)(1/4) . (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：2473 / 2496

页数：24

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