Some congruences connecting quadratic class numbers with continued fractions

被引：3
作者：
Cheng, Weidong [1 ,2 ]
Guo, Xuejun [1 ]
机构：
[1] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China
[2] Chongqing Inst Posts & Telecommun, Sch Sci, Chongqing 400065, Peoples R China
来源：
ACTA ARITHMETICA | 2019年 / 191卷 / 04期
基金：
中国国家自然科学基金;
关键词：
ideal class numbers; quadratic fields; continued fractions; Hirzebruch sums; Dedekind sums; KRONECKER LIMIT FORMULA;
D O I：
10.4064/aa8640-4-2019
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
[No abstract available]
引用
收藏
页码：309 / 340
页数：32
相关论文
共 50 条
[41]   Periodic Representations and Approximations of p-adic Numbers Via Continued Fractions [J].
Barbero, Stefano ;
Cerruti, Umberto ;
Murru, Nadir .
EXPERIMENTAL MATHEMATICS, 2024, 33 (01) :100-110
[42]   SOME EXACT ALGEBRAIC EXPRESSIONS FOR THE TAILS OF TASOEV CONTINUED FRACTIONS [J].
Komatsu, Takao .
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2012, 92 (02) :179-193
[43]   Some exceptional sets of Borel–Bernstein theorem in continued fractions [J].
Lulu Fang ;
Jihua Ma ;
Kunkun Song .
The Ramanujan Journal, 2021, 56 :891-909
[44]   REAL QUADRATIC FIELDS, CONTINUED FRACTIONS, AND A CONSTRUCTION OF PRIMARY SYMMETRIC PARTS OF ELE TYPE [J].
Kawamoto, Fuminori ;
Kishi, Yasuhiro ;
Suzuki, Hiroshi ;
Tomita, Koshi .
KYUSHU JOURNAL OF MATHEMATICS, 2019, 73 (01) :165-187
[45]   Sets of Dirichlet non-improvable numbers with certain order in the theory of continued fractions [J].
Feng, Jing ;
Xu, Jian .
NONLINEARITY, 2021, 34 (03) :1598-1611
[46]   SOME QUADRATIC IRRATIONALS WITH EXPLICIT CONTINUED FRACTION AND ENGEL SERIES EXPANSIONS [J].
Kanasri, Narakorn Rompurk ;
Laohakosol, Vichian ;
Changphas, Tawat .
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2015, 52 (03) :316-336
[47]   Some exceptional sets of Borel-Bernstein theorem in continued fractions [J].
Fang, Lulu ;
Ma, Jihua ;
Song, Kunkun .
RAMANUJAN JOURNAL, 2021, 56 (03) :891-909
[48]   Zeros of 2-adic L-functions and congruences for class numbers and fundamental units [J].
Shanks, DC ;
Sime, PJ ;
Washington, LC .
MATHEMATICS OF COMPUTATION, 1999, 68 (227) :1243-1255
[49]   THE Q-STIRLING NUMBERS, CONTINUED FRACTIONS AND THE Q-CHARLIER AND Q-LAGUERRE POLYNOMIALS [J].
ZENG, J .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1995, 57 (03) :413-424
[50]   ON THE 3-DIVISIBILITY OF CLASS NUMBERS OF PAIRS OF QUADRATIC FIELDS WITH SPLITTING CONDITIONS [J].
Ito, Akiko .
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2019, 60 (01) :61-76
12345