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تسجيل مستخدم جديدThe formulas of coefficients of sum and product of p-adic integers with applications to Witt vectors
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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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