Witt vectors and Fermat quotient

Giovanni Falcone; Alfonso Di Bartolo; Alfonso Di Bartolo; Giovanni Falcone

Witt vectors and Fermat quotient

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

Matematica e Informatica

Risultato della ricerca: Article › peer review

2 Citazioni (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).

Lingua originale	English
pagine (da-a)	1376-1387
Numero di pagine	12
Rivista	Journal of Number Theory
Volume	128
Stato di pubblicazione	Published - 2008

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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title = "Witt vectors and Fermat quotient",

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).",

keywords = "Fermat Quotients, Witt vectors, Fermat Quotients, Witt vectors",

author = "Giovanni Falcone and {Di Bartolo}, Alfonso and {Di Bartolo}, Alfonso and Giovanni Falcone",

year = "2008",

language = "English",

volume = "128",

pages = "1376--1387",

journal = "Journal of Number Theory",

issn = "0022-314X",

publisher = "Academic Press Inc.",

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TY - JOUR

T1 - Witt vectors and Fermat quotient

AU - Falcone, Giovanni

AU - Di Bartolo, Alfonso

AU - Falcone, Giovanni

PY - 2008

Y1 - 2008

N2 - 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).

AB - 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).

KW - Fermat Quotients

KW - Witt vectors

KW - Fermat Quotients

KW - Witt vectors

UR - http://hdl.handle.net/10447/31726

M3 - Article

VL - 128

SP - 1376

EP - 1387

JO - Journal of Number Theory

JF - Journal of Number Theory

SN - 0022-314X

ER -