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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Published in:International journal of mathematics and mathematical sciences 2022-01, Vol.2022
Main Authors: Issa, Ahmad, Sankari, Hasan
Format: Article
Language:English
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Fields (mathematics)
Mathematics
Number theory
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Sankari, Hasan
description 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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subjects Fields (mathematics)
Mathematics
Number theory
title A Necessary and Sufficient Condition for k=ℚ4n 2+1 to Have Class Number ωn+c
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