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.
In: Journal of the London Mathematical Society, Vol. 106, No. 3, 2022, p. 2696-2729.Research output: Contribution to journal › Journal article › Research › peer-review
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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