The expected number of complex zeros of complex random polynomials

zbMath1393.30008MaRDI QIDQ1746528

Huong Tran, Micah Jackson, Dhir Patel, Katrina Ferrier, Andrew H. Ledoan

Publication date: 25 April 2018

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

Full work available at URL: https://projecteuclid.org/euclid.ijm/1520046216

zbMATH Keywords

random polynomialsintensity functionempirical distribution of variablesexpected number of complex zeros

Mathematics Subject Classification ID

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) Real polynomials: location of zeros (26C10) Probability theory on algebraic and topological structures (60B99) Random power series in one complex variable (30B20)

Cites Work

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• Explicit formulas for the distribution of complex zeros of a family of random sums
• Complex roots of a random algebraic polynomial
• How many zeros of a random polynomial are real?
• On roots of random polynomials
• The Complex Zeros of Random Polynomials
• Erratum to “How many zeros of a random polynomial are real?”
• On the Number of Real Roots of a Random Algebraic Equation
• On the average number of real roots of a random algebraic equation