Fermat’s Congruence

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

Chapter Lecture XII in 13 Lectures on Fermat’s Last Theorem, 1979, pp 245-261 from Springer

Abstract: Abstract In this lecture, I will turn my attention to an analogue of Fermat’s theorem. Instead of the equation, it will be a question of a congruence. In addition to the intrinsic interest of this modified problem, I mentioned in my fourth lecture how Sophie Germain’s criterion for the first case involves Fermat’s congruence modulo some prime. Accordingly, I will begin by studying the Fermat equation over prime fields.

Keywords: Nontrivial Solution; Primitive Root; Riemann Hypothesis; Cyclotomic Field; Cyclic Representation (search for similar items in EconPapers)
Date: 1979
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DOI: 10.1007/978-1-4684-9342-9_12

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