Kummer Exits

Paulo Ribenboim
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Paulo Ribenboim: Jeffery Hall Queen’s University, Department of Mathematics and Statistics

Chapter Lecture VII in 13 Lectures on Fermat’s Last Theorem, 1979, pp 115-137 from Springer

Abstract: Abstract After having established Fermat’s theorem for regular prime exponents, Kummer continued his work, considering the first case for arbitrary prime exponents. He was able to derive congruences, involving Bernoulli numbers, which must be satisfied by any would-be solution. From these congruences, he derived specific divisibility properties about Bernoulli numbers.

Keywords: Prime Ideal; Class Number; Principal Ideal; Bernoulli Number; Unique Integer (search for similar items in EconPapers)
Date: 1979
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DOI: 10.1007/978-1-4684-9342-9_7

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