THE θ = ∞ CONJECTURE IMPLIES THE RIEMANN HYPOTHESIS

被引：4
作者：
Bettin, Sandro [1 ]
Gonek, Steven M. [2 ]
机构：
[1] DIMA, Via Dodecaneso 35, I-16146 Genoa, Italy
[2] Univ Rochester, Dept Math, Rochester, NY 14627 USA
来源：
MATHEMATIKA | 2017年 / 63卷 / 01期
基金：
美国国家科学基金会;
关键词：
ZETA-FUNCTION; ZEROS;
D O I：
10.1112/S0025579316000139
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that the theta = infinity conjecture implies the Riemann hypothesis.
引用
收藏
页码：29 / 33
页数：5
相关论文
共 6 条
[1]   MORE THAN 2/5 OF THE ZEROS OF THE RIEMANN ZETA-FUNCTION ARE ON THE CRITICAL LINE [J].
CONREY, JB .
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1989, 399 :1-26
[2]   LONG MOLLIFIERS OF THE RIEMANN ZETA-FUNCTION [J].
FARMER, DW .
MATHEMATIKA, 1993, 40 (79) :71-87
[3]  
Gonek S. M., GEN LINDELOF H UNPUB
[4]   MORE THAN ONE THIRD OF ZEROS OF RIEMANNS ZETA-FUNCTION ARE ON SIGMA = 1-2 [J].
LEVINSON, N .
ADVANCES IN MATHEMATICS, 1974, 13 (04) :383-436
[5]   OSCILLATORY PROPERTIES OF M(X)=SIGMA-N LESS-THAN-OR-EQUAL-TO X-MU(N), I [J].
PINTZ, J .
ACTA ARITHMETICA, 1982, 42 (01) :49-55
[6]  
Radziwill M., 2012, PREPRINT
1