On Fermat's last theorem and the arithmetic of \({\mathbb{Z}}[\zeta _ p+\zeta _ p^{-1}]\)

DOI10.1016/0022-314X(88)90107-2zbMath0654.10018MaRDI QIDQ1108304

Francisco Thaine

Publication date: 1988

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

Bernoulli numbersfirst case of Fermat's last theoremannihilation on class groupKummer criterionMirimanoff polynomial

Mathematics Subject Classification ID

Higher degree equations; Fermat's equation (11D41) Cyclotomic extensions (11R18) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items

Primary cyclotomic units and a proof of Catalans conjecture

Cites Work

• On the first case of Fermat's last theorem
• On the ideal class groups of real abelian number fields
• Polynomials generalizing binomial coefficients and their application to the study of Fermat's last theorem
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