The nontrivial zeros of period polynomials of modular forms lie on the unit circle
type: Item
instance of: scholarly article
zbMATH Open document ID: 1305.11030
publication date: 2014-09-04T00:00:00Z
full work available at URL: https://arxiv.org/abs/1201.2322
full work available at URL: rns183.pdf
Mathematics Subject Classification ID: 11F11
Mathematics Subject Classification ID: 11F25
Mathematics Subject Classification ID: 11F67
zbMATH DE Number: 6340079
zbMATH Keywords: period polynomial
zbMATH Keywords: modular form
zbMATH Keywords: nontrivial zeros
zbMATH Keywords: Hecke cusp form
author: John Brian Conrey
author: David W. Farmer
author: Özlem Imamoglu
MaRDI profile type: Publication
OpenAlex ID: W2963491067
arXiv ID: 1201.2322
DOI: 10.1093/IMRN/RNS183
published in: IMRN. International Mathematics Research Notices
title: The nontrivial zeros of period polynomials of modular forms lie on the unit circle
review text: In this work, the authors derive some relation on nontrivial zeros of period polynomials of modular forms lying on the unit circle, namely they show that all but five of the zeros of the period polynomial associated to a Hecke cusp form are on the unit circle. They collect their results in six lemmas, one theorem and one corollary.
reviewed by: Ahmet Tekcan
description: scientific article; zbMATH DE number 6340079