Extreme values of zeta and L-functions

被引：74

作者：

Soundararajan, K. ^{[1
]}

机构：

[1] Stanford Univ, Dept Math, Stanford, CA 94305 USA

来源：

MATHEMATISCHE ANNALEN | 2008年 / 342卷 / 02期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1007/s00208-008-0243-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce a resonance method to produce large values of the Riemann zeta-function on the critical line, and large and small central values of L-functions.

引用

页码：467 / 486

页数：20

共 15 条

[1]

[Anonymous], 1986, HARDY RAMANUJAN J

[2] FREQUENCY OF TITCHMARSHS PHENOMENON FOR ZETA(S) .3. [J].

BALASUBRAMANIAN, R ;

RAMACHANDRA, K .

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES SECTION A, 1977, 86 (04) :341-351

[3] Real zeros of quadratic Dirichlet L-functions [J].

Conrey, JB ;

Soundararajan, K .

INVENTIONES MATHEMATICAE, 2002, 150 (01) :1-44

[4] The maximum size of L-functions [J].

Farmer, David W. ;

Gonek, S. M. ;

Hughes, C. P. .

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2007, 609 :215-236

[5] Large character sums [J].

Granville, A ;

Soundararajan, K .

JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 2001, 14 (02) :365-397

[6]

HOFFSTEIN J, 1999, AMS P S PURE MATH 2, V66, P239

[7]

IWANIEC H, 1997, AMS GRAUDATE STUDIES, V17

[8]

MILICEVIC D, 2006, THESIS PRINCETON U

[9] EXTREME VALUES OF RIEMANN ZETA FUNCTION [J].

MONTGOMERY, HL .

COMMENTARII MATHEMATICI HELVETICI, 1977, 52 (04) :511-518

[10]

NG N, EXTREME VALUES XI P

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