Triple Product Formula and Mass Equidistribution on Modular Curves of Level N
Open access
Autor(in)
Datum
2018-05Typ
- Journal Article
Abstract
Let N be a fixed integer and ⨍ be a holomorphic newform of level q, weight k and trivial nebentypus, where q is a multiple of N. In this article, we prove that the pushforward to the modular curve of level N of the mass measure of ⨍ tends weakly to the Haar measure as qk → ∞. This generalizes the previous results for modular curve of level 1. The main innovation of this article is to obtain an upper bound for the local integral which cancels the convexity bound of the corresponding L-function in level aspect. Mehr anzeigen
Persistenter Link
https://doi.org/10.3929/ethz-b-000285249Publikationsstatus
publishedExterne Links
Zeitschrift / Serie
International Mathematics Research NoticesBand
Seiten / Artikelnummer
Verlag
Oxford University PressAnmerkungen
It was possible to publish this article open access thanks to a Swiss National Licence with the publisher.