On Vandiver’s Best Result on FLT1

Preda Mihăilescu ()
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Preda Mihăilescu: Mathematisches Institut der Universität Göttingen

Chapter Chapter 25 in Nonlinear Analysis, 2012, pp 417-430 from Springer

Abstract: Abstract In a paper from 1934, Vandiver sketched the proof of the claim that the First Case of Fermat’s Last Theorem follows from the conjecture presently bearing his name. In 1993, Sitaraman showed that the existing gap in Vandiver’s proof could easily be filled by adding a condition on the class group of the pth cyclotomic field. In this paper, we give a proof of a slightly more general result than the one of Vandiver–Sitaraman, with consequences for a larger family of Diophantine equations.

Keywords: Fermat’s last theorem; Diophantine equations; Kummer–Vandiver conjecture; Cyclotomic field; 11Dxx; 11A41 (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4614-3498-6_25

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DOI: 10.1007/978-1-4614-3498-6_25

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