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On Vandiver’s Best Result on FLT1

In: Nonlinear Analysis

Author

Listed:
  • Preda Mihăilescu

    (Mathematisches Institut der Universität Göttingen)

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.

Suggested Citation

  • Preda Mihăilescu, 2012. "On Vandiver’s Best Result on FLT1," Springer Optimization and Its Applications, in: Panos M. Pardalos & Pando G. Georgiev & Hari M. Srivastava (ed.), Nonlinear Analysis, edition 127, chapter 0, pages 417-430, Springer.
    • Handle: RePEc:spr:spochp:978-1-4614-3498-6_25
    DOI: 10.1007/978-1-4614-3498-6_25
    as

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