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Fundamental systems of units in biquadratic parametric number fields

✍ Scribed by Günther Frei


Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
321 KB
Volume
15
Category
Article
ISSN
0022-314X

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On congruence relations between the fund
✍ Sey Kim 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 249 KB

Given any distinct prime numbers p, q, and r satisfying certain simple congruence conditions, we display a congruence relation between the fundamental units for the biquadratic field K = Q( √ pr, √ q ), modulo a certain prime ideal of O K . This congruence in particular implies the validity of the e