Rational values of the Riemann zeta function

被引：23

作者：

Masser, D. ^{[1
]}

机构：

[1] Univ Basel, Math Inst, CH-4051 Basel, Switzerland

来源：

JOURNAL OF NUMBER THEORY | 2011年 / 131卷 / 11期

关键词：

Zeta function; Irrationality; Counting; NUMBER; POINTS;

D O I：

10.1016/j.jnt.2011.03.013

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the existence of a constant C such that for any D >= 3 there are at most C (log D/log log D)(2) rational numbers s with 2 < s < 3 and denominator at most D such that s) is also rational with denominator at most D. This is done by combining elements of the works of Bombieri-Pila, Pila, and Surroca with a new zero estimate. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：2037 / 2046

页数：10

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