The Problem on Class Numbers of Quadratic Number Fields

The Problem on Class Numbers of Quadratic Number Fields

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摘要 It is a survey of the problem on class numbers of quadratic number fields.

作者陆洪文

出处《Chinese Quarterly Journal of Mathematics》 CSCD 1996年第3期1-7,共7页 数学季刊（英文版）

基金 Supported by NNSF of China and SF of Chinese Education Committee ,and has been done when the author visited the Department of Mathematics of Purduc Unuversity in 1993

关键词 quadratic number fields class number elliptic curves 二次数域类数椭圆曲线

分类号 O156.24 [理学—基础数学]

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参考文献9

1陆洪文，二次数域的高斯猜想，1993年
2陆洪文，Class number and Computer，1991年
3陆洪文，Modular forms of weight 3/2 and class number of quadratic number fields，1990年
4陆洪文，S chowls’ conjecture on a class of real quadratic fields，1988年
5陆洪文，IHES，1986年
6陆洪文，数学学报，1986年，29卷，433页
7陆洪文，Sci Sin A，1984年，27卷，1233页
8陆洪文，中国科技大学学报，1980年，10卷，4期，133页
9陆洪文，Sci Sin，1979年，专辑II期，118页

1冯克勤,张贤科.ON RELATIVE INTEGRAL BASES OF QUARTIC CYCLIC NUMBER FIELDS[J].Chinese Science Bulletin,1983,28(4):456-457.
2刘通.Congruences for the class numbers of real cyclic sextic number fields[J].Science China Mathematics,1999,42(10):1009-1018. 被引量：2
3杨东,张贤科.Quadratic Number Fields with Class Numbers Divisible by a Prime q[J].Tsinghua Science and Technology,2004,9(4):475-481.
4张贤科,王鲲鹏.Lower Bound for Ideal Class Numbers of Real Quadratic Function Fields[J].Tsinghua Science and Technology,2000,5(4):370-371.
5陆洪文,纪春岗,焦荣政.Kronecker limit formula for real quadratic number fields (III)[J].Science China Mathematics,2001,44(9):1132-1138.
6Nihal Yilmazzgür,Refik Keskin.PROOF OF A CONJECTURE RELATED TO THE PARABOLIC CLASS NUMBERS OF SOME FUCHSIAN GROUPS[J].Acta Mathematica Scientia,2005,25(2):215-222. 被引量：1
7Zhishan YANG.On the Number of Integral Ideals in Two Different Quadratic Number Fields[J].Chinese Annals of Mathematics,Series B,2016,37(4):595-606.
8LIU Tong Department of Applied Mathematics, Tsinghua University, Beijing 100084, China.Formulae of type Ankeny-Artin-Chowla for class numbers of general cyclic sextic fields[J].Chinese Science Bulletin,1998,43(10):824-826.
9黄志远.A MODEL FOR WHITE NOISE ANALYSIS IN P-ADIC NUMBER FIELDS[J].Acta Mathematica Scientia,1996,16(1):1-14.
10Xi Mei WU Qin YUE.8-ranks of Class Groups of Some Imaginary Quadratic Number Fields[J].Acta Mathematica Sinica,English Series,2007,23(11):2061-2068.

Chinese Quarterly Journal of Mathematics

1996年第3期

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The Problem on Class Numbers of Quadratic Number Fields

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