Power series with restricted coefficients and a root on a given ray

DOI10.1090/S0025-5718-98-00960-0zbMath0889.30006MaRDI QIDQ4383189

Franck Beaucoup, Peter B. Borwein, David W. Boyd, Christopher G. Pinner

Publication date: 24 March 1998

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

power seriesbeta-numbersrestricted coefficients

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10)

Related Items (8)

Bounds on coefficients of reciprocals of formal power series with rapidly decreasing coefficients ⋮ On Newman and Littlewood polynomials with a prescribed number of zeros inside the unit disk ⋮ On Newman polynomials which divide no Littlewood polynomial ⋮ Explicit bounds for multidimensional linear recurrences with restricted coefficients ⋮ Roots of polynomials of bounded height ⋮ Second-order bounds for linear recurrences with negative coefficients ⋮ Double roots of [-1,1 power series and related matters] ⋮ A bound for linear recurrence relations with unbounded order

Cites Work

• Zeros of polynomials with \(0, 1\) coefficients
• On some bounds for zeros of norm-bounded polynomials
• Conjugates of Beta-Numbers and the Zero-Free Domain for a Class of Analytic Functions
• Multiple Roots of [−1, 1 Power Series]

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