Zero distribution of power series and binary correlation of coefficients

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)

Cites Work

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Distribution of zeroes of Rademacher Taylor series
Asymptotic distribution of complex zeros of random analytic functions
Concentration of points on two and three dimensional modular hyperbolas and applications
The Jancovici-Lebowitz-Manificat law for large fluctuations of random complex zeroes
On finite pseudorandom binary sequences. II: The Champernowne, Rudin-Shapiro, and Thue-Morse sequences, a further construction
The spectrum of an array and its application to the study of the translation properties of a simple class of arithmetical functions. I: The spectrum of an array.
The spectrum of an array and its application to the study of the translation properties of a simple class of arithmetical functions. II: On the translation properties of a simple class of arithmetical functions.
Some problems of diophantine approximation. I: The fractional part of \(n^k\theta\). II: The trigonometrical series associated with the elliptic \(\vartheta\)-functions.
Small scale distribution of zeros and mass of modular forms
Entire functions of exponential type represented by pseudo-random and random Taylor series
Ergodic properties of square-free numbers
Random complex zeroes. III: Decay of the hole probability
Random complex zeroes. II. Perturbed lattice
Uniformly spread measures and vector fields
On the distribution of zeros and a-values of a random integral function. II
Lacunary entire functions
Characteristic, Maximum Modulus and Value Distribution
The ‘pits effect’ for entire functions of exponential type and the Wiener spectrum
Uniformly Spread Discrete Sets in R ^d
Estimates for the concentration function of combinatorial number theory and probability
Non-Self-Adjoint Differential Operators, Spectral Asymptotics and Random Perturbations
The distribution of the values of an entire function whose coefficients are independent random variables (II)
Roots of random functions: A framework for local universality
The Distribution of the Values of an Entire Function Whose Coefficients are Independent Random Variables (I)
On the ‘pits effect’ of Littlewood and Offord
A “ Pits Effect ” for all Smooth Enough Integral Functions with a Coefficient Factor exp(n ² απi ), α = ½(√5−1)
Angular Value Distribution of Power Series with Gaps
On the frequency of pairs of square-free numbers with a given difference
Note on a Paper By M. Nassif
Sur la croissance des fonctions entières.

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