ON SELF-RECIPROCAL POLYNOMIALS AT A POINT ON THE UNIT CIRCLE

초록

Given two integral self-reciprocal polynomials having the same modulus at a point z(0) on the unit circle, we show that the minimal polynomial of z(0) is also self-reciprocal and it divides an explicit integral self-reciprocal polynomial. Moreover, for any two integral self-reciprocal polynomials, we give a sufficient condition for the existence of a point z(0) on the unit circle such that the two polynomials have the same modulus at z(0).

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