𝔖 Bobbio Scriptorium
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A study on two extensions of the Bogoyavlenskii–Schieff equation

✍ Scribed by Abdul-Majid Wazwaz


Book ID
113547060
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
206 KB
Volume
17
Category
Article
ISSN
1007-5704

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On the class groups of cyclotomic extens
✍ Preda Mihăilescu 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 209 KB

Catalan's conjecture states that the equation x py q = 1 has no other integer solutions but 3 2 -2 3 = 1. We investigate the consequences of existence of further solutions (with odd prime exponents p, q) upon the relative class group of the pth cyclotomic extension. We thus obtain several new result