Class number 1 criteria for real quadratic fields of Richaud-Degert type

被引:20
作者
Byeon, DH [1 ]
Kim, HK [1 ]
机构
[1] POHANG UNIV SCI & TECHNOL,DEPT MATH,POHANG 790784,SOUTH KOREA
关键词
D O I
10.1006/jnth.1996.0052
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we develop two ways of computing special values of zeta function attached to a real quadratic field. Comparing these values we obtain various class number 1 criteria for real quadratic fields of Richaud-Degert type. (C) 1996 Academic Press, Inc.
引用
收藏
页码:328 / 339
页数:12
相关论文
共 13 条
[1]   GENERALIZED DEDEKIND SUMS AND TRANSFORMATION FORMULAE OF CERTAIN LAMBERT SERIES [J].
APOSTOL, TM .
DUKE MATHEMATICAL JOURNAL, 1950, 17 (02) :147-157
[2]  
Carlitz L., 1953, Pacific J. Math., V3, P513
[3]  
Degert Gunter., 1958, Abh. Math. Sem. Univ. Hamburg, V22, P92, DOI [10.1007/BF02941943, DOI 10.1007/BF02941943]
[4]  
Kim H.K., 1988, THESIS J HOPKINS U B
[5]   PRIME PRODUCING QUADRATIC POLYNOMIALS AND CLASS-NUMBER ONE PROBLEM FOR REAL QUADRATIC FIELDS [J].
KOBAYASHI, M .
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1990, 66 (05) :119-121
[6]  
Lang H., 1968, Angew. Math, V223, P123
[7]  
LU H, 1979, SCI SINICA, P117
[8]  
LU HW, 1981, SCI SINICA, V24, P1352
[9]  
MOLLIN RA, 1987, P INT C NUMB THEOR Q
[10]  
Siegel C.L., 1969, NACHR AKAD WISS G MP, V10, P87