On the critical points of random matrix characteristic polynomials and of the Riemann ξ-function

DOI10.1093/qmath/hax033zbMath1417.60008arXiv1611.10037OpenAlexW2557690394MaRDI QIDQ4684199

Sasha Sodin

Publication date: 27 September 2018

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.10037

zbMATH Keywords

characteristic polynomialsrandom Hermitian matrices

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) (zeta (s)) and (L(s, chi)) (11M06)

Related Items (4)

The limiting characteristic polynomial of classical random matrix ensembles ⋮ Band-limited mimicry of point processes by point processes supported on a lattice ⋮ The many faces of the stochastic zeta function ⋮ Random entire functions from random polynomials with real zeros

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