Real zeros of Artin L-functions corresponding to five-dimensional S-5-representations

J. Dwyer

doi:10.1112/blms/bdt075

Real zeros of Artin L-functions corresponding to five-dimensional S-5-representations

J. Dwyer^*

^*Corresponding author for this work

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

2 Citations (Scopus)

Abstract

We build on a recent result of Calegari regarding S-5 Artin representations by giving concrete examples of five-dimensional representations that satisfy the additional conditions necessary to prove their modularity. We do so via the Explicit Formula for the corresponding Artin L-functions and a method to choose an appropriate test function to use in order to optimize the computational time necessary.

Original language	English
Pages (from-to)	51-58
Number of pages	8
Journal	Bulletin of the London Mathematical Society
Volume	46
DOIs	https://doi.org/10.1112/blms/bdt075
Publication status	Published - Feb 2014

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Explicit number theory, automorphic forms and L-functions
Booker, A. R. (Principal Investigator)
1/10/09 → 1/04/15
Project: Research

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abstract = "We build on a recent result of Calegari regarding S-5 Artin representations by giving concrete examples of five-dimensional representations that satisfy the additional conditions necessary to prove their modularity. We do so via the Explicit Formula for the corresponding Artin L-functions and a method to choose an appropriate test function to use in order to optimize the computational time necessary.",

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N2 - We build on a recent result of Calegari regarding S-5 Artin representations by giving concrete examples of five-dimensional representations that satisfy the additional conditions necessary to prove their modularity. We do so via the Explicit Formula for the corresponding Artin L-functions and a method to choose an appropriate test function to use in order to optimize the computational time necessary.

AB - We build on a recent result of Calegari regarding S-5 Artin representations by giving concrete examples of five-dimensional representations that satisfy the additional conditions necessary to prove their modularity. We do so via the Explicit Formula for the corresponding Artin L-functions and a method to choose an appropriate test function to use in order to optimize the computational time necessary.

U2 - 10.1112/blms/bdt075

DO - 10.1112/blms/bdt075

M3 - Article (Academic Journal)

SN - 0024-6093

VL - 46

SP - 51

EP - 58

JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

ER -

Real zeros of Artin L-functions corresponding to five-dimensional S-5-representations

Abstract

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Projects

Explicit number theory, automorphic forms and L-functions

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