@article{69a8c8fdc77c48d5a6cbdc752f31f067,
title = "The {\textquoteleft}pits effect{\textquoteright} for entire functions of exponential type and the Wiener spectrum",
abstract = "Given a sequence (Formula presented.), we find a simple spectral condition which guarantees the angular equidistribution of the zeroes of the Taylor series (Formula presented.) This condition yields practically all known instances of random and pseudo-random sequences (Formula presented.) with this property (due to Nassif, Littlewood, Chen–Littlewood, Levin, Eremenko–Ostrovskii, Kabluchko–Zaporozhets, Borichev–Nishry–Sodin), and provides several new ones. Among them are Besicovitch almost periodic sequences and multiplicative random sequences. It also conditionally yields that the M{\"o}bius function (Formula presented.) has this property assuming {\textquoteleft}the binary Chowla conjecture{\textquoteright}.",
keywords = "30C15 (secondary), 30D99 (primary)",
author = "Jacques Benatar and Alexander Borichev and Mikhail Sodin",
note = "Publisher Copyright: {\textcopyright} 2021 The Authors. The publishing rights in this article are licensed to the London Mathematical Society under an exclusive licence.",
year = "2021",
month = oct,
doi = "10.1112/jlms.12464",
language = "אנגלית",
volume = "104",
pages = "1433--1451",
journal = "Journal of the London Mathematical Society",
issn = "0024-6107",
publisher = "John Wiley and Sons Ltd",
number = "3",
}