Small-scale equidistribution of Hecke eigenforms at infinity

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Small-scale equidistribution of Hecke eigenforms at infinity. / Nordentoft, Asbjørn C.; Petridis, Yiannis N.; Risager, Morten S.

I: Journal of the London Mathematical Society, Bind 106, Nr. 3, 2022, s. 2696-2729.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Nordentoft, AC, Petridis, YN & Risager, MS 2022, 'Small-scale equidistribution of Hecke eigenforms at infinity', Journal of the London Mathematical Society, bind 106, nr. 3, s. 2696-2729. https://doi.org/10.1112/jlms.12645

APA

Nordentoft, A. C., Petridis, Y. N., & Risager, M. S. (2022). Small-scale equidistribution of Hecke eigenforms at infinity. Journal of the London Mathematical Society, 106(3), 2696-2729. https://doi.org/10.1112/jlms.12645

Vancouver

Nordentoft AC, Petridis YN, Risager MS. Small-scale equidistribution of Hecke eigenforms at infinity. Journal of the London Mathematical Society. 2022;106(3):2696-2729. https://doi.org/10.1112/jlms.12645

Author

Nordentoft, Asbjørn C. ; Petridis, Yiannis N. ; Risager, Morten S. / Small-scale equidistribution of Hecke eigenforms at infinity. I: Journal of the London Mathematical Society. 2022 ; Bind 106, Nr. 3. s. 2696-2729.

Bibtex

@article{479c1b6b5d4348e8a502f889d7bedc47,
title = "Small-scale equidistribution of Hecke eigenforms at infinity",
abstract = "We investigate the equidistribution of Hecke eigenforms for (Formula presented.) on sets that are shrinking toward the cusp. We show that at scales finer than the Planck scale they do not equidistribute while at scales more coarse than the Planck scale they equidistribute on a full density subsequence of eigenforms. On a suitable set of test functions we compute the variance showing an interesting transition behavior at half the Planck scale.",
author = "Nordentoft, {Asbj{\o}rn C.} and Petridis, {Yiannis N.} and Risager, {Morten S.}",
note = "Publisher Copyright: {\textcopyright} 2022 The Authors. Journal of the London Mathematical Society is copyright {\textcopyright} London Mathematical Society.",
year = "2022",
doi = "10.1112/jlms.12645",
language = "English",
volume = "106",
pages = "2696--2729",
journal = "Journal of the London Mathematical Society",
issn = "0024-6107",
publisher = "Oxford University Press",
number = "3",

}

RIS

TY - JOUR

T1 - Small-scale equidistribution of Hecke eigenforms at infinity

AU - Nordentoft, Asbjørn C.

AU - Petridis, Yiannis N.

AU - Risager, Morten S.

N1 - Publisher Copyright: © 2022 The Authors. Journal of the London Mathematical Society is copyright © London Mathematical Society.

PY - 2022

Y1 - 2022

N2 - We investigate the equidistribution of Hecke eigenforms for (Formula presented.) on sets that are shrinking toward the cusp. We show that at scales finer than the Planck scale they do not equidistribute while at scales more coarse than the Planck scale they equidistribute on a full density subsequence of eigenforms. On a suitable set of test functions we compute the variance showing an interesting transition behavior at half the Planck scale.

AB - We investigate the equidistribution of Hecke eigenforms for (Formula presented.) on sets that are shrinking toward the cusp. We show that at scales finer than the Planck scale they do not equidistribute while at scales more coarse than the Planck scale they equidistribute on a full density subsequence of eigenforms. On a suitable set of test functions we compute the variance showing an interesting transition behavior at half the Planck scale.

UR - http://www.scopus.com/inward/record.url?scp=85131927486&partnerID=8YFLogxK

U2 - 10.1112/jlms.12645

DO - 10.1112/jlms.12645

M3 - Journal article

AN - SCOPUS:85131927486

VL - 106

SP - 2696

EP - 2729

JO - Journal of the London Mathematical Society

JF - Journal of the London Mathematical Society

SN - 0024-6107

IS - 3

ER -

ID: 318802148