The formulas of coefficients of sum and product of p-adic integers with applications to Witt vectors

Details The formulas of coefficients of sum and product of p-adic integers with applications to Witt vectors The formulas of coefficients of sum and product of p-adic integers with applications to Witt vectors

2010-07-06

arxiv.org/abs/1007.0878v1

Mathematics

Number Theory

Scientific paper

The explicit formulas of operations, in particular addition and multiplication, of $p $-adic integers are presented. As applications of the results, at first the explicit formulas of operations of Witt vectors with coefficients in $\mathbb{F}_{2}$ are given; then, through solving a problem of Browkin about the transformation between the coefficients of a $p$-adic integer expressed in the ordinary least residue system and the numerically least residue system, similar formulas for Witt vectors with coefficients in $\mathbb{F}_{3}$ are obtained.

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