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On Hilbert genus fields of imaginary cyclic quartic fields
2021
Journal:  
Turkish Journal of Mathematics
Author:  
DOI:  
10.3906/mat-2101-120
Abstract:

Let $p$ be a prime number such that $p=2$ or $p\equiv 1\pmod 4$. Let $\varepsilon_p$ denote the fundamental unit of $\mathbb{Q}(\sqrt{p})$ and let $a$ be a positive square-free integer. The main aim of this paper is to determine explicitly the Hilbert genus field of the imaginary cyclic quartic fields of the form $\mathbb{Q}(\sqrt{-a\varepsilon_p\sqrt{p}})$.

Keywords:

null
2021
Journal:  
Turkish Journal of Mathematics
Author:  
DOI:  
10.3906/mat-2101-120
0
2021
Journal:  
Turkish Journal of Mathematics
Author:  
DOI:  
10.3906/mat-2101-120
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Information: There is no ciation to this publication.
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Turkish Journal of Mathematics

Field :   Fen Bilimleri ve Matematik

Journal Type :   Uluslararası

Metrics
Article : 2.274
Cite : 712
2023 Impact : 0.039
Details
Turkish Journal of Mathematics