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On zeroes and poles of Helson zeta functions. / Bochkov, I.; Romanov, R.

в: Journal of Functional Analysis, Том 282, № 8, 109398, 15.04.2022.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Bochkov, I & Romanov, R 2022, 'On zeroes and poles of Helson zeta functions', Journal of Functional Analysis, Том. 282, № 8, 109398. https://doi.org/10.1016/j.jfa.2022.109398

APA

Bochkov, I., & Romanov, R. (2022). On zeroes and poles of Helson zeta functions. Journal of Functional Analysis, 282(8), [109398]. https://doi.org/10.1016/j.jfa.2022.109398

Vancouver

Bochkov I, Romanov R. On zeroes and poles of Helson zeta functions. Journal of Functional Analysis. 2022 Апр. 15;282(8). 109398. https://doi.org/10.1016/j.jfa.2022.109398

Author

Bochkov, I. ; Romanov, R. / On zeroes and poles of Helson zeta functions. в: Journal of Functional Analysis. 2022 ; Том 282, № 8.

BibTeX

@article{d775f797e5a4478f9d237d31ff941dcb,
title = "On zeroes and poles of Helson zeta functions",
abstract = "We show that the analytic continuations of Helson zeta functions ζχ(s)=∑1∞χ(n)n−s can have essentially arbitrary poles and zeroes in the strip 21/40<ℜs<1 (unconditionally), and in the whole critical strip 1/2<ℜs<1 under Riemann Hypothesis.",
keywords = "Dirichlet series, Helson zeta function, Meromorphic extension",
author = "I. Bochkov and R. Romanov",
note = "Publisher Copyright: {\textcopyright} 2022 Elsevier Inc.",
year = "2022",
month = apr,
day = "15",
doi = "10.1016/j.jfa.2022.109398",
language = "English",
volume = "282",
journal = "Journal of Functional Analysis",
issn = "0022-1236",
publisher = "Elsevier",
number = "8",

}

RIS

TY - JOUR

T1 - On zeroes and poles of Helson zeta functions

AU - Bochkov, I.

AU - Romanov, R.

N1 - Publisher Copyright: © 2022 Elsevier Inc.

PY - 2022/4/15

Y1 - 2022/4/15

N2 - We show that the analytic continuations of Helson zeta functions ζχ(s)=∑1∞χ(n)n−s can have essentially arbitrary poles and zeroes in the strip 21/40<ℜs<1 (unconditionally), and in the whole critical strip 1/2<ℜs<1 under Riemann Hypothesis.

AB - We show that the analytic continuations of Helson zeta functions ζχ(s)=∑1∞χ(n)n−s can have essentially arbitrary poles and zeroes in the strip 21/40<ℜs<1 (unconditionally), and in the whole critical strip 1/2<ℜs<1 under Riemann Hypothesis.

KW - Dirichlet series

KW - Helson zeta function

KW - Meromorphic extension

UR - http://www.scopus.com/inward/record.url?scp=85123749328&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/5b7be008-7100-3ec2-be6d-adc0cb4536f3/

U2 - 10.1016/j.jfa.2022.109398

DO - 10.1016/j.jfa.2022.109398

M3 - Article

AN - SCOPUS:85123749328

VL - 282

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

SN - 0022-1236

IS - 8

M1 - 109398

ER -

ID: 98050016