On the determination of number fields by L-functions

被引：0

作者：

Nicolae, Florin ^{[1
,2
]}

机构：

[1] Tech Univ Berlin, Inst Math, Str 17 Juni 136, D-10623 Berlin, Germany

[2] Romanian Acad, Inst Math, POB 1-764, RO-014700 Bucharest, Romania

来源：

JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX | 2016年 / 28卷 / 02期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that a Galois number field is determined by any Artin L-function corresponding to a character of the Galois group which contains all irreducible characters.

引用

页码：431 / 433

页数：3

共 50 条

[21] Subconvexity for twisted L-functions over number fields via shifted convolution sums
Maga, P.
ACTA MATHEMATICA HUNGARICA, 2017, 151 (01) : 232 - 257
[22] Estimates for coefficients of L-functions for function fields
Hsu, CN
FINITE FIELDS AND THEIR APPLICATIONS, 1999, 5 (01) : 76 - 88
[23] Global L-functions over function fields
Gebhard Böckle
Mathematische Annalen, 2002, 323 : 737 - 795
[24] Global L-functions over function fields
Böckle, G
MATHEMATISCHE ANNALEN, 2002, 323 (04) : 737 - 795
[25] CLASS NUMBER AND THE SPECIAL VALUES OF L-FUNCTIONS
Goral, Haydar
MATHEMATICAL REPORTS, 2022, 24 (04): : 693 - 701
[26] L-FUNCTIONS AND QUADRATIC FIELDS WITH UNIQUE FACTORIZATION
GROSSWALD, E
DUKE MATHEMATICAL JOURNAL, 1966, 33 (01) : 169 - +
[27] On Artin L-functions for octic quaternion fields
Omar, S
EXPERIMENTAL MATHEMATICS, 2001, 10 (02) : 237 - 245
[28] APPLICATION OF L-FUNCTIONS OF IMAGINARY QUADRATIC FIELDS
OZEKI, M
JOURNAL OF NUMBER THEORY, 1977, 9 (01) : 112 - 120
[29] FACTORING L-FUNCTIONS AS PRODUCTS OF L-FUNCTIONS
GRENIER, D
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 345 (02) : 673 - 692
[30] A short history on investigation of the special values of zeta and L-functions of totally real number fields
Ishii, T
Oda, T
AUTOMORPHIC FORMS AND ZETA FUNCTIONS, 2006, : 198 - +

← 1 2 3 4 5 →