THE CLASSICAL TRILOGARITHM, ALGEBRAIC K-THEORY OF FIELDS, AND DEDEKIND ZETA-FUNCTIONS

被引:12
作者
GONCHAROV, AB
机构
关键词
D O I
10.1090/S0273-0979-1991-15975-6
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we show how to express the values of zeta-F(3) for arbitrary number field F in terms of the trilogarithms (D. Zagier's conjecture) and how to relate this result to algebraic K-theory.
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页码:155 / 162
页数:8
相关论文
共 17 条
[1]  
BEILINSON AA, 1989, POLYLOGARITHM CYCLOT
[2]  
BEILINSON AA, LECT NOTES MATH, V1289, P1
[3]  
BLOCH S, 1977, LECTURE NOTES
[4]  
Borel A., 1977, ANN SCUOLA NORM SUP, V4, p[1977, 613]
[5]  
HAIN R, 1989, HIGHER LOGARITHMS
[6]  
KUMMER EE, 1940, J PURE APPL MATH, V21
[7]  
Lewin L., 1981, POLYLOGARITHMS ASS F
[8]  
LICHTENBAUM S, 1984, LECT NOTES MATH, V1086, P127
[9]  
Milnor J., 1971, ANN MATH STUD, V72
[10]   ON STRUCTURE OF HOPF ALGEBRAS [J].
MILNOR, JW ;
MOORE, JC .
ANNALS OF MATHEMATICS, 1965, 81 (02) :211-&