Equidistribution of Matrix-Power Residues
نویسنده
چکیده
Here {y\ = y — [y] = the fractional part of y. The number N is an integer >1. The number x0 is a given initial value such that 0 ^ Xo < 1. The number 0 is fixed. Some early references to numerical work with sequences of the type (1) are given by 0. Taussky and J. Todd in [1]. Regarding the sequence x„ as a function of Xo, I proved in [2] that for almost all x0 the sequence x„ is equidistributed modulo 1, i.e.,
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