Zeros of power series ∑ ξ(n)a(n) z^n with binary-correlated multipliers ξ and smooth a are equidistributed w.r.t. a radial measure from a, for IID, quadratic phases, multiplicative, Golay-Rudin-Shapiro, square-free, and Thue-Morse sequences.
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Zero distribution of power series and binary correlation of coefficients
Zeros of power series ∑ ξ(n)a(n) z^n with binary-correlated multipliers ξ and smooth a are equidistributed w.r.t. a radial measure from a, for IID, quadratic phases, multiplicative, Golay-Rudin-Shapiro, square-free, and Thue-Morse sequences.