Fundamental units of real quadratic fields of odd class number

JOURNAL OF NUMBER THEORY

卷:137

Article

Zhang, Zhe¹  Yue, Qin² 

[1] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Anhui, Peoples R China

[2] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210016, Jiangsu, Peoples R China

关键词: Real quadratic fields;    Fundamental units;    Diophantine equations;   

DOI  :  10.1016/j.jnt.2013.10.019

来源: Elsevier

【 摘 要 】

Let K = Q(root d) be a real quadratic field with odd class number and its fundamental unit epsilon(d) = x + y root d > 1 satisfies N-K/Q(epsilon(d)) = 1. We give some congruence relations about x, y explicitly. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free