A Necessary and Sufficient Condition for k=ℚ4n 2+1 to Have Class Number ωn+c

In this paper, we give a necessary and sufficient condition for real quadratic field k=ℚ4n 2+1 to have class number ωn+c where c∈1, 2 and ωn is the number of odd prime divisors of n.

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Bibliographic Details
Published in:International journal of mathematics and mathematical sciences 2022-01, Vol.2022
Main Authors: Issa, Ahmad, Sankari, Hasan
Format: Article
Language:English
Subjects:
Fields (mathematics)
Mathematics
Number theory
Online Access:Get full text
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Description
Summary:In this paper, we give a necessary and sufficient condition for real quadratic field k=ℚ4n 2+1 to have class number ωn+c where c∈1, 2 and ωn is the number of odd prime divisors of n.
ISSN:0161-1712
1687-0425
DOI:10.1155/2022/6579960