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Polynomials generalizing binomial coefficients and their application to the study of Fermat's last theorem

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Publication:1835694
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DOI10.1016/0022-314X(82)90035-XzbMath0504.10009MaRDI QIDQ1835694

Francisco Thaine

Publication date: 1982

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


zbMATH Keywords

Bernoulli numberfirst case of Fermat's last theoremcoefficient of cyclotomic polynomialcombinatory polynomialsmixed Kummer-Mirimanoff congruences


Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Higher degree equations; Fermat's equation (11D41) Cyclotomic extensions (11R18) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)


Related Items (3)

On Fermat's last theorem and the arithmetic of \({\mathbb{Z}}[\zeta _ p+\zeta _ p^{-1}\)] ⋮ On Some Cyclotomic Congruences of F. Thaine ⋮ On the first case of Fermat's last theorem



Cites Work

  • Fermat's Last Theorem: Its History and the Nature of the Known Results Concerning It
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