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GIOVANNI FALCONE

Witt vectors and Fermat quotient

  • Authors: DI BARTOLO A; FALCONE G
  • Publication year: 2008
  • Type: Articolo in rivista (Articolo in rivista)
  • Key words: Witt vectors, Fermat Quotients
  • OA Link: http://hdl.handle.net/10447/31726

Abstract

We give a representation of any integer as a vector of the Witt ring W(Z_p) and relate it to the Fermat quotient q(n) = (n^(p−1) − 1)/p. Logarithms are introduced in order to establish an isomorphism between the commutative unipotent groups 1+ pW(Z_p) and W(Z_p).