Badly approximable infinite products of quadratic polynomials

2022/11/10 by Dzmitry Badziahin, Badziahin, Dmitry, Cameron Eggins +1
Mathematics · #Mathematical and Theoretical Analysis #Mathematical functions and polynomials #Functional Equations Stability Results

paper · pdf · doi:10.48550/arxiv.2211.05915

Abstract

We provide a number of conditions on the rational numbers u and v which ensure that the Laurent series g_u,v(x):=∏_t=0^∞ (1+ux^-3t + vx^{-2⋅ 3t}) is badly approximable.

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