A new condition equivalent to the Ankeny-Artin-Chowla conjecture

DOI10.1016/j.jnt.2018.04.011zbMath1460.11130OpenAlexW2805991753WikidataQ123020415 ScholiaQ123020415MaRDI QIDQ1786696

Joshua Harrington, Leonard Jones

Publication date: 24 September 2018

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2018.04.011

zbMATH Keywords

fundamental unitAnkeny-Artin-Chowla conjectureLucas polynomial

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Quadratic extensions (11R11) Units and factorization (11R27) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (2)

Unnamed Item ⋮ Infinite families of reciprocal monogenic polynomials and their Galois groups

Cites Work

• The class-number of real quadratic number fields
• Über vertauschbare Polynome
• Computer verification of the Ankeny--Artin--Chowla Conjecture for all primes less than $100000000000$
• A note on the class number of real quadratic fields
• On a Pellian equation conjecture
• The fundamental unit and bounds for class numbers of real quadratic fields
• Criteria for Simultaneous Solutions of X² − DY² = c and x² − Dy² = −c
• A further note on the class number of real quadratic fields
• On a Pellian Equation Conjecture (II)
• The Class-Number of Real Quadratic Fields
• A simple criterion for solvability of both \(X^2-DY^2=c\) and \(x^2-Dy^2=-c\)
• Ankeny-Artin-Chowla conjecture and continued fraction expansion
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A new condition equivalent to the Ankeny-Artin-Chowla conjecture