Wieferich past and future

Research output: Chapter in Book/Report/Conference proceedingChapter

3 Scopus citations


Let p be an odd prime. Wieferich related the question of whether 2p−1 − 1 is divisible by p2 to (the “first case” of) Fermat’s Last theorem for the exponent p. Here we formulate an equidistribution conjecture about the sequence, indexed by odd primes p, of fractions 2p-1-1/p2 mod ℤ in ℝ/ℤ. We then formulate versions of this conjecture for algebraic tori, for elliptic curves, for abelian varieties and for semi-abelian varieties.

Original languageAmerican English
Title of host publicationContemporary Mathematics
PublisherAmerican Mathematical Society
Number of pages18
StatePublished - 2015

Publication series

NameContemporary Mathematics

ASJC Scopus subject areas

  • General Mathematics


  • Abelian variety
  • Elliptic curve
  • Equidistribution
  • Groupscheme


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