On the distribution of polynomials with bounded roots. I: Polynomials with real coefficients

DOI10.2969/jmsj/06630927zbMath1305.33006OpenAlexW1992095407MaRDI QIDQ743696

Shigeki Akiyama, Attila Pethoe

Publication date: 30 September 2014

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jmsj/1406206977

zbMATH Keywords

Selberg integralpolynomials with bounded roots

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Polynomials in number theory (11C08) Integration of real functions of several variables: length, area, volume (26B15) Real polynomials: analytic properties, etc. (26C05) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20)

Related Items (6)

On the distribution of polynomials with bounded height ⋮ Mean divisibility of multinomial coefficients ⋮ On the number of monic integer polynomials with given signature ⋮ Distribution results on polynomials with bounded roots ⋮ Counting and Testing Dominant Polynomials ⋮ An on-average Maeda-type conjecture in the level aspect

Cites Work

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• Finite and periodic orbits of shift radix systems
• A Short Proof of Selberg’s Generalized Beta Formula
• The importance of the Selberg integral
• Jacobi Polynomials Associated with Selberg Integrals
• A canonical parameter space for linear systems design

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