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RESEARCH PRODUCT

Witt vectors and Fermat quotients

Giovanni FalconeAlfonso Di Bartolo

subject

Witt vectors Fermat QuotientsFermat quotientRing (mathematics)Pure mathematicsAlgebra and Number TheoryIntegerOrder (ring theory)IsomorphismUnipotentWitt vectorQuotientMathematics

description

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 + p W ( Z p ) and W ( Z p ) .

yearjournalcountryeditionlanguage
2008-05-01Journal of Number Theory
https://doi.org/10.1016/j.jnt.2007.11.003