The Valuative Capacities of the Sets of Sums of Two and of Three Squares
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چکیده
If A is a subset of Z, then the n-th characteristic ideal of A is the fractional ideal of Z consisting of 0 and the leading coe cients of polynomials in Q[x] of degree no more than n which are integer-valued on A. The valuative capacity with respect to a prime p of A is a measure of the rate of growth of the p-adic part of these characteristic ideals of A and is defined, for a given p, to be the value of the limit
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تاریخ انتشار 2016