Distribution of zeroes of Rademacher Taylor series

DOI10.5802/afst.1510zbMath1352.30001arXiv1507.02340OpenAlexW2963859539MaRDI QIDQ332663

Alon Nishry, Mikhail Sodin, F. L. Nazarov

Publication date: 8 November 2016

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.02340

zbMATH Keywords

Rademacher Taylor series, counting function of the zerosrandom entire functions

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) Entire functions of one complex variable (general theory) (30D20) Random power series in one complex variable (30B20)

Related Items (2)

Inequalities concerning maximum modulus and zeros of random entire functions ⋮ Fluctuations for zeros of Gaussian Taylor series

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Asymptotic distribution of complex zeros of random analytic functions
• The angular value distribution of analytic and random analytic functions
• Growth and distribution of zeros of holomorphic mappings of a finite- dimensional space into a Banach space
• An extension of the Kahane-Khinchine inequality in a Banach space
• Khinchin's inequality and the zeroes of Bloch functions
• Entire functions of exponential type represented by pseudo-random and random Taylor series
• On the distribution of zeros and a-values of a random integral function. II
• Log-integrability of Rademacher Fourier series, with applications to random analytic functions
• The distribution of the values of an entire function whose coefficients are independent random variables (II)
• The Distribution of the Values of an Entire Function Whose Coefficients are Independent Random Variables (I)

This page was built for publication: Distribution of zeroes of Rademacher Taylor series