Some Criteria for Class Numbers to Be Non-One

Joint Authors

Sankari, Hasan
Issa, Ahmad

Source

Journal of Mathematics

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

Mathematics

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