Witt vectors and Fermat quotient

Giovanni Falcone, Alfonso Di Bartolo, Alfonso Di Bartolo, Giovanni Falcone

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

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 betweenthe commutative unipotent groups 1+ pW(Z_p) and W(Z_p).
Original languageEnglish
Pages (from-to)1376-1387
Number of pages12
JournalJournal of Number Theory
Volume128
Publication statusPublished - 2008

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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