Some Criteria for Class Numbers to Be Non-One
Joint Authors
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-11-17
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
Let d be a positive integer which is not a perfect square and n be any nonzero fixed integer.
Then, the equation x2−dy2=n is known as the general Pell equation.
In this paper, we give some criteria for class numbers of certain real quadratic fields to be greater than one, depending on the solvability of the general Pell equation, ideals in quadratic orders, and the period length of the simple continued fraction expansions of d.
American Psychological Association (APA)
Issa, Ahmad& Sankari, Hasan. 2020. Some Criteria for Class Numbers to Be Non-One. Journal of Mathematics،Vol. 2020, no. 2020, pp.1-5.
https://search.emarefa.net/detail/BIM-1188085
Modern Language Association (MLA)
Issa, Ahmad& Sankari, Hasan. Some Criteria for Class Numbers to Be Non-One. Journal of Mathematics No. 2020 (2020), pp.1-5.
https://search.emarefa.net/detail/BIM-1188085
American Medical Association (AMA)
Issa, Ahmad& Sankari, Hasan. Some Criteria for Class Numbers to Be Non-One. Journal of Mathematics. 2020. Vol. 2020, no. 2020, pp.1-5.
https://search.emarefa.net/detail/BIM-1188085
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1188085