Linear forms on Sinnott's module

被引:9
作者
Greither, Cornelius [1 ]
Kucera, Radan [2 ]
机构
[1] Univ Bundeswehr Munchen, Fak Informat, Inst Theoret Informat Math & OR, D-85577 Neubiberg, Germany
[2] Masaryk Univ, Fac Sci, CS-61137 Brno, Czech Republic
关键词
Sinnott's module; Circular (cyclotomic) units; Stickelberger ideal; ABELIAN L-FUNCTIONS; STICKELBERGER IDEAL; CIRCULAR UNITS; FIELD; DERIVATIVES;
D O I
10.1016/j.jnt.2014.02.003
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper proves a result concerning linear forms on the Sinnott module. This is perhaps of intrinsic interest, and it is needed in another paper of the same authors. We obtain a congruence which can be interpreted as a strengthening of a congruence of Anthony Hayward. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码:324 / 342
页数:19
相关论文
共 14 条
[1]   GENERATORS AND RELATIONS FOR CYCLOTOMIC UNITS [J].
BASS, H .
NAGOYA MATHEMATICAL JOURNAL, 1966, 27 (02) :401-&
[2]  
Belliard JR, 2001, MANUSCRIPTA MATH, V106, P117, DOI 10.1007/s002290100199
[3]   Congruences between derivatives of abelian L-functions at s=0 [J].
Burns, David .
INVENTIONES MATHEMATICAE, 2007, 169 (03) :451-499
[4]  
ENNOLA V, 1972, J NUMBER THEORY, V4, P236
[5]   Annihilators for the class group of a cyclic field of prime power degree, 11 [J].
Greither, C ;
Kucera, R .
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2006, 58 (03) :580-599
[6]  
Greither C., 2014, ANN I FOURI IN PRESS, V64
[7]   Annihilators for the class group of a cyclic field of prime power degree III [J].
Greither, Cornelius ;
Kucera, Radan .
PUBLICATIONES MATHEMATICAE-DEBRECEN, 2015, 86 (3-4) :401-421
[8]   Class number formula for higher derivatives of abelian L-functions [J].
Hayward, A .
COMPOSITIO MATHEMATICA, 2004, 140 (01) :99-129
[9]   Index formulas for ramified elliptic units [J].
Oukhaba, H .
COMPOSITIO MATHEMATICA, 2003, 137 (01) :1-22
[10]   ON THE STICKELBERGER IDEAL AND THE CIRCULAR UNITS OF AN ABELIAN FIELD [J].
SINNOTT, W .
INVENTIONES MATHEMATICAE, 1980, 62 (02) :181-234