@inbook{41dad18ef585467b8fa487ee9aac6e3b,
title = "Wieferich past and future",
abstract = "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{\textquoteright}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.",
keywords = "Abelian variety, Elliptic curve, Equidistribution, Groupscheme",
author = "Katz, {Nicholas M.}",
note = "Publisher Copyright: {\textcopyright} 2015 American Mathematical Society.",
year = "2015",
doi = "10.1090/conm/632/12632",
language = "English (US)",
series = "Contemporary Mathematics",
publisher = "American Mathematical Society",
pages = "253--270",
booktitle = "Contemporary Mathematics",
address = "United States",
}