Entire functions of exponential type represented by pseudo-random and random Taylor series

Alexander Borichev, Alon Nishry, Mikhail Sodin

Type: Article

Publication Date: 2017-10-01

Citations: 5

DOI: https://doi.org/10.1007/s11854-017-0037-0

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arXiv (Cornell University) - View - PDF
HAL (Le Centre pour la Communication Scientifique Directe) - View
Journal d Analyse Mathématique - View

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+ PDF Chat	On the real zeros of random trigonometric polynomials with dependent coefficients	2018	Jürgen Angst Federico Dalmao Guillaume Poly
+	Spectra of Stationary Processes on $$\mathbb{Z}$$	2018	Alexander Borichev Mikhail Sodin Benjamin Weiss
+ PDF Chat	The ‘pits effect’ for entire functions of exponential type and the Wiener spectrum	2021	Jacques Benatar Alexander Borichev Mikhail Sodin
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Works Cited by This (18)

Action	Title	Year	Authors
+	Notions of Convexity	2007	Lars Hörmander
+	Independent and stationary sequences of random variables	1971	И. А. Ибрагимов Ю. В. Ліннік J. F. C. Kingmán
+ PDF Chat	On the ‘pits effect’ of Littlewood and Offord	2007	Alexandre Erëmenko И. В. Островскии
+	Ten Lectures on the Interface between Analytic Number Theory and Harmonic Analysis	1994	Hugh L. Montgomery
+	ON THE ASYMPTOTIC BEHAVIOR OF SUBHARMONIC FUNCTIONS OF FINITE ORDER	1980	Vladimir Azarin
+	Asymptotic distribution of complex zeros of random analytic functions	2014	Zakhar Kabluchko Dmitry Zaporozhets
+	A “ Pits Effect ” for all Smooth Enough Integral Functions with a Coefficient Factor exp(<i>n</i> <sup>2</sup> απ<i>i</i> ), α = ½(√5−1)	1968	J. E. Littlewood
+	An Introduction to Harmonic Analysis.	1970	Guido Weiss Yitzhak Katznelson
+ PDF Chat	Stieltjes Functions and Hurwitz Stable Entire Functions	2011	Victor Katsnelson
+	The Theory of the Riemann Zeta-Function	1987	E. C. Titchmarsh D. R. Heath‐Brown