The coexistence problem for the discrete Mathieu operator
type: Item
instance of: scholarly article
title: The coexistence problem for the discrete Mathieu operator
zbMATH Open document ID: 0669.34016
DOI: 10.1007/BF01221406
published in: Communications in Mathematical Physics
publication date: 1989-01-01T00:00:00Z
review text: We solve the coexistence problem for the periodic discrete Mathieu operator in all parametric cases. The main tool in the proof is Bezout's theorem for projective plane curves. As an additional result we obtain the gap opening and gap growth powers for this operator.
Mathematics Subject Classification ID: 34A30
Mathematics Subject Classification ID: 47E05
zbMATH DE Number: 4095902
zbMATH Keywords: periodic discrete Mathieu operator
zbMATH Keywords: Bezout's theorem
zbMATH Keywords: projective plane curves
author: Pierre von Mouche
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01221406
OpenAlex ID: W2025366732
description: scientific article; zbMATH DE number 4095902