An explicit Voronoĭ formula for SL3(ℝ) newforms underlying the symmetric lifts in the level aspect
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Published:2023-11-21
Issue:
Volume:
Page:1-13
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ISSN:1793-0421
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Container-title:International Journal of Number Theory
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language:en
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Short-container-title:Int. J. Number Theory
Author:
Hou Fei1ORCID,
Lü GuangShi2
Affiliation:
1. School of Sciences, Xi’an University of Technology, Xi’an 710054, P. R. China
2. School of Mathematics, Shandong University, Jinan 250100, P. R. China
Abstract
Let [Formula: see text] be a newform for [Formula: see text] underlying the symmetric square lift of a (either holomorphic or Hecke–Maaß) newform [Formula: see text] of square-free level and trivial nebentypus. In this paper, we present the classical level aspect version of the Voronoĭ formula for the symmetric square lift is established in an alternative way by tracing back to its geometric nature, compared with Zhou’s work [F. Zhou, The Voronoi formula on [Formula: see text] with ramification, preprint (2018), arXiv:1806.10786].
Funder
Foundation of Shaan Xi Educational Committee
Shaanxi Fundamental Science Research Project for Mathematics and Physics
Sub-project of National Key R&D Project
Publisher
World Scientific Pub Co Pte Ltd
Subject
Algebra and Number Theory