Real zeros of random Dirichlet series

DOI10.1214/19-ECP260zbMath1422.60072arXiv1904.00086MaRDI QIDQ2274117

Marco Aymone

Publication date: 19 September 2019

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.00086

zbMATH Keywords

Dirichlet seriesrandom serieszeros of random analytic functions

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Other Dirichlet series and zeta functions (11M41) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Zeta functions and (L)-functions of number fields (11R42) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Zeta functions and (L)-functions (11S40) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Algebras and orders, and their zeta functions (11S45)

Related Items (6)

Limit theorems for random Dirichlet series ⋮ Sign changes of the partial sums of a random multiplicative function ⋮ How many real zeros does a random Dirichlet series have? ⋮ Law of the iterated logarithm for a random Dirichlet series ⋮ Limit theorems for discounted convergent perpetuities ⋮ Partial sums of random multiplicative functions and extreme values of a model for the Riemann zeta function

Cites Work

• Unnamed Item
• Unnamed Item
• Overcrowding estimates for zeroes of planar and hyperbolic Gaussian analytic functions
• A law of the iterated logarithm for random geometric series
• On the number of real roots of random polynomials

This page was built for publication: Real zeros of random Dirichlet series