• Daneshyari
  • Topics
    • Physical Sciences and Engineering
      Life Sciences
      Health Sciences
      Social Sciences and Humanities
Physical Sciences and Engineering Mathematics Algebra and Number Theory

Fundamental units of real quadratic fields of odd class number

Article ID Journal Published Year Pages File Type
6415585 Journal of Number Theory 2014 8 Pages PDF
Abstract

Let K=Q(d) be a real quadratic field with odd class number and its fundamental unit ϵd=x+yd>1 satisfies NK/Q(ϵd)=1. We give some congruence relations about x,y explicitly.

Keywords
11D0911R27Real quadratic fieldsDiophantine equationsFundamental units
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
Fundamental units of real quadratic fields of odd class number
Authors
Zhe Zhang, Qin Yue,
Related Articles
Computing the Laplace eigenvalue and level of Maass cusp forms
Hutchinson–Zaharescu parabolas and Ford circles
On the distribution of numbers related to the divisors of xn − 1
On the least square-free primitive root modulo p
New convolutions for the number of divisors
On the addition of squares of units modulo n
Imaginary quadratic fields whose ideal class groups have 3-rank at least three
On families of linear recurrence relations for the special values of the Riemann zeta function
The absolute trace of totally positive reciprocal algebraic integers
A multiquadratic field generalization of Artin's conjecture
Journal
Journal of Number Theory
Journal: Journal of Number Theory
Related Categories
11D09
11R27
Real quadratic fields
Diophantine equations
Fundamental units
Algebra and Number Theory
Analysis
Applied Mathematics
Computational Mathematics
Control and Optimization
Discrete Mathematics and Combinatorics
Geometry and Topology
Logic
Mathematical Physics
Mathematics (General)
Modelling and Simulation
Numerical Analysis
Statistics and Probability
Theoretical Computer Science
Related Journals
Journal of Symbolic Computation
Expositiones Mathematicae
Finite Fields and Their Applications
Journal of Algebra
Journal of Functional Analysis
Journal of Pure and Applied Algebra
Linear Algebra and its Applications
Daneshyari provides fulltext access to millions of research papers.