Searching for \(p\)-adic eigenfunctions
type: Item
instance of: scholarly article
title: Searching for \(p\)-adic eigenfunctions
zbMATH Open document ID: 0851.11031
author: Fernando Q. Gouvêa
author: Barry Mazur
published in: Mathematical Research Letters
publication date: 1996-05-19T00:00:00Z
review text: Let \(U\) denote the Atkin operator. The authors propose a computational procedure to search for nonclassical overconvergent \(p\)-adic \(U\)-eigenforms. The idea is to approximate the \(p\)-adic \(U\)-eigenfunction expansion which eventually may produce a candidate Fourier expansion. They use the asymptotic \(U\)-spectral expansion to give concrete examples for \(p = 5,3\).
reviewed by: Andrzej Dąbrowski
Mathematics Subject Classification ID: 11F33
Mathematics Subject Classification ID: 11F30
zbMATH DE Number: 858506
zbMATH Keywords: overconvergent \(p\)-adic eigenforms
zbMATH Keywords: spectral expansion
zbMATH Keywords: Atkin operator
zbMATH Keywords: Fourier expansion
MaRDI profile type: Publication
full work available at URL: mrl.1995.v2.n5.a1
OpenAlex ID: W2095020841
DOI: 10.4310/MRL.1995.V2.N5.A1
description: scientific article; zbMATH DE number 858506