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math.NT2025
Approximation of the number of nonunimodular zeros of a self-reciprocal polynomial
Dragan Stankov
We introduce the ratio of the number of roots, not equal to 1 in modulus, of a reciprocal polynomial to its degree . For some sequences of reciprocal polynomials we sho…
math.NT2025
The alternative to Mahler measure of a multivariate polynomial
Dragan Stankov
We introduce the ratio of the number of roots of a polynomial , less than one in modulus, to its degree as an alternative to Mahler measure. We investigate some properti…