Quantitative estimates for simple zeros of L-functions

Andrew Booker; M. B. Milinovich; Nathan Ng

doi:10.1112/S0025579318000530

Quantitative estimates for simple zeros of L-functions

Andrew Booker, M. B. Milinovich, Nathan Ng

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Abstract

We generalize a method of Conrey and Ghosh (Invent. Math. 94 (1988)) to prove quantitative estimates for simple zeros of modular form L-functions of arbitrary conductor.

Original language	English
Pages (from-to)	375-399
Number of pages	25
Journal	Mathematika
Volume	65
Issue number	2
Early online date	7 Jan 2019
DOIs	https://doi.org/10.1112/S0025579318000530
Publication status	Published - Feb 2019

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This is the author accepted manuscript (AAM). The final published version (version of record) is available online via Cambridge University Press at https://www.cambridge.org/core/journals/mathematika/article/quantitative-estimates-for-simple-zeros-of-l-functions/FAA1B2C5E08EB70EECE996DF5331F03D . Please refer to any applicable terms of use of the publisher.
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title = "Quantitative estimates for simple zeros of L-functions",

abstract = "We generalize a method of Conrey and Ghosh (Invent. Math. 94 (1988)) to prove quantitative estimates for simple zeros of modular form L-functions of arbitrary conductor. ",

author = "Andrew Booker and Milinovich, {M. B.} and Nathan Ng",

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language = "English",

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pages = "375--399",

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issn = "0025-5793",

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T1 - Quantitative estimates for simple zeros of L-functions

AU - Booker, Andrew

AU - Milinovich, M. B.

AU - Ng, Nathan

PY - 2019/2

Y1 - 2019/2

N2 - We generalize a method of Conrey and Ghosh (Invent. Math. 94 (1988)) to prove quantitative estimates for simple zeros of modular form L-functions of arbitrary conductor.

AB - We generalize a method of Conrey and Ghosh (Invent. Math. 94 (1988)) to prove quantitative estimates for simple zeros of modular form L-functions of arbitrary conductor.

UR - https://arxiv.org/abs/1806.01959

U2 - 10.1112/S0025579318000530

DO - 10.1112/S0025579318000530

M3 - Article (Academic Journal)

SN - 0025-5793

VL - 65

SP - 375

EP - 399

JO - Mathematika

JF - Mathematika

IS - 2

ER -

Quantitative estimates for simple zeros of L-functions

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