Value distribution of L′(ρ)

Junxian Li; Alexandru Zaharescu

doi:10.1016/j.jmaa.2019.123400

Value distribution of L′(ρ)

Junxian Li, Alexandru Zaharescu

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Let L be an automorphic L-function. Assuming the Riemann Hypothesis for L(s) and the Selberg normality conjecture, we obtain a lower bound for the second negative moment and extreme small values of L^′(ρ), where ρ is a zero of L(s).

Original language	English (US)
Article number	123400
Journal	Journal of Mathematical Analysis and Applications
Volume	480
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2019.123400
State	Published - Dec 1 2019

Keywords

Dedekind zeta function
Derivative
Extreme values
Selberg class

ASJC Scopus subject areas

Analysis
Applied Mathematics

Online availability

10.1016/j.jmaa.2019.123400

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title = "Value distribution of L′(ρ)",

abstract = "Let L be an automorphic L-function. Assuming the Riemann Hypothesis for L(s) and the Selberg normality conjecture, we obtain a lower bound for the second negative moment and extreme small values of L′(ρ), where ρ is a zero of L(s).",

keywords = "Dedekind zeta function, Derivative, Extreme values, Selberg class",

author = "Junxian Li and Alexandru Zaharescu",

note = "Publisher Copyright: {\textcopyright} 2019 Elsevier Inc.",

year = "2019",

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day = "1",

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language = "English (US)",

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AU - Li, Junxian

AU - Zaharescu, Alexandru

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AB - Let L be an automorphic L-function. Assuming the Riemann Hypothesis for L(s) and the Selberg normality conjecture, we obtain a lower bound for the second negative moment and extreme small values of L′(ρ), where ρ is a zero of L(s).

KW - Dedekind zeta function

KW - Derivative

KW - Extreme values

KW - Selberg class

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DO - 10.1016/j.jmaa.2019.123400

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IS - 1

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ER -

Value distribution of L′(ρ)

Abstract

Keywords

ASJC Scopus subject areas

Online availability

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