Minimality criteria for rational functions over Zp

초록

In this paper, we characterize the minimality criteria for a rational function on Zp where the denominator possesses no zeros modulo p. This characterization is specifically formulated regarding the coefficients of a rational function, focusing on cases where p equals 2 or 3. For an arbitrary prime p >= 5, we provide an explicit formulation of the minimality criterion for such functions, contingent on the successful determination of the prescribed minimal conditions for the reduction of f modulo p.

키워드