Simple zeros of degree 2 L-functions

Andrew R Booker

doi:10.4171/JEMS/603

Simple zeros of degree 2 L-functions

Andrew R Booker^*

^*Corresponding author for this work

Research output: Contribution to journal › Article (Academic Journal) › peer-review

6 Citations (Scopus)

333 Downloads (Pure)

Abstract

We prove that the complete L-functions of classical holomorphic newforms have infinitely many simple zeros.

Original language	English
Pages (from-to)	813-823
Number of pages	11
Journal	Journal of the European Mathematical Society
Volume	18
Issue number	4
Early online date	8 Mar 2016
DOIs	https://doi.org/10.4171/JEMS/603
Publication status	Published - Apr 2016

Keywords

L-functions
Modular forms
Simple zeros

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10.4171/JEMS/603

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© 2016 EMS Publishing House. All rights reserved. First published in the Journal of the European Mathematical Society 2016, 18(4), pp813-823.
Accepted author manuscript, 279 KB

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title = "Simple zeros of degree 2 L-functions",

abstract = "We prove that the complete L-functions of classical holomorphic newforms have infinitely many simple zeros.",

keywords = "L-functions, Modular forms, Simple zeros",

author = "Booker, \{Andrew R\}",

year = "2016",

month = apr,

doi = "10.4171/JEMS/603",

language = "English",

volume = "18",

pages = "813--823",

journal = "Journal of the European Mathematical Society",

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N2 - We prove that the complete L-functions of classical holomorphic newforms have infinitely many simple zeros.

AB - We prove that the complete L-functions of classical holomorphic newforms have infinitely many simple zeros.

KW - L-functions

KW - Modular forms

KW - Simple zeros

UR - https://www.scopus.com/pages/publications/84961807632

UR - http://arxiv.org/abs/1211.6838

U2 - 10.4171/JEMS/603

DO - 10.4171/JEMS/603

M3 - Article (Academic Journal)

AN - SCOPUS:84961807632

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SP - 813

EP - 823

JO - Journal of the European Mathematical Society

JF - Journal of the European Mathematical Society

IS - 4

ER -

Simple zeros of degree 2 L-functions

Abstract

Keywords

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Explicit number theory, automorphic forms and L-functions

Professor Andrew R Booker

Cite this

Simple zeros of degree 2 L-functions

Abstract

Keywords

Access to Document

Handle.net

Other files and links

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Projects

Explicit number theory, automorphic forms and L-functions

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Professor Andrew R Booker

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