Sato-Tate equidistribution for families of Hecke-Maass forms on SL(n, R)/SO(n)

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Sato-Tate equidistribution for families of Hecke-Maass forms on SL(n, R)/SO(n). / Matz, Jasmin; Templier, Nicolas.

In: Algebra & Number Theory, Vol. 15, No. 6, 2021, p. 1343-1428.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Matz, J & Templier, N 2021, 'Sato-Tate equidistribution for families of Hecke-Maass forms on SL(n, R)/SO(n)', Algebra & Number Theory, vol. 15, no. 6, pp. 1343-1428. https://doi.org/10.2140/ant.2021.15.1343

APA

Matz, J., & Templier, N. (2021). Sato-Tate equidistribution for families of Hecke-Maass forms on SL(n, R)/SO(n). Algebra & Number Theory, 15(6), 1343-1428. https://doi.org/10.2140/ant.2021.15.1343

Vancouver

Matz J, Templier N. Sato-Tate equidistribution for families of Hecke-Maass forms on SL(n, R)/SO(n). Algebra & Number Theory. 2021;15(6):1343-1428. https://doi.org/10.2140/ant.2021.15.1343

Author

Matz, Jasmin ; Templier, Nicolas. / Sato-Tate equidistribution for families of Hecke-Maass forms on SL(n, R)/SO(n). In: Algebra & Number Theory. 2021 ; Vol. 15, No. 6. pp. 1343-1428.

Bibtex

@article{aeae0ae8b076467a8422de34d0ca1583,
title = "Sato-Tate equidistribution for families of Hecke-Maass forms on SL(n, R)/SO(n)",
abstract = "We establish the Sato-Tate equidistribution of Hecke eigenvalues on average for families of Hecke--Maass cusp forms on SL(n,R)/SO(n). For each of the principal, symmetric square and exterior square L-functions we verify that the families are essentially cuspidal and deduce the level distribution with restricted support of the low-lying zeros. We also deduce average estimates toward Ramanujan.",
keywords = "automorphic forms, L-functions, Arthur-Selberg trace formula",
author = "Jasmin Matz and Nicolas Templier",
year = "2021",
doi = "10.2140/ant.2021.15.1343",
language = "English",
volume = "15",
pages = "1343--1428",
journal = "Algebra and Number Theory",
issn = "1937-0652",
publisher = "Mathematical Sciences Publishers",
number = "6",

}

RIS

TY - JOUR

T1 - Sato-Tate equidistribution for families of Hecke-Maass forms on SL(n, R)/SO(n)

AU - Matz, Jasmin

AU - Templier, Nicolas

PY - 2021

Y1 - 2021

N2 - We establish the Sato-Tate equidistribution of Hecke eigenvalues on average for families of Hecke--Maass cusp forms on SL(n,R)/SO(n). For each of the principal, symmetric square and exterior square L-functions we verify that the families are essentially cuspidal and deduce the level distribution with restricted support of the low-lying zeros. We also deduce average estimates toward Ramanujan.

AB - We establish the Sato-Tate equidistribution of Hecke eigenvalues on average for families of Hecke--Maass cusp forms on SL(n,R)/SO(n). For each of the principal, symmetric square and exterior square L-functions we verify that the families are essentially cuspidal and deduce the level distribution with restricted support of the low-lying zeros. We also deduce average estimates toward Ramanujan.

KW - automorphic forms

KW - L-functions

KW - Arthur-Selberg trace formula

U2 - 10.2140/ant.2021.15.1343

DO - 10.2140/ant.2021.15.1343

M3 - Journal article

VL - 15

SP - 1343

EP - 1428

JO - Algebra and Number Theory

JF - Algebra and Number Theory

SN - 1937-0652

IS - 6

ER -

ID: 284427103