Sectorial Mertens and Mirsky formulae for imaginary quadratic number fields

Parkkonen, Jouni; Paulin, Frédéric

doi:10.1007/s00013-023-01952-0

dc.contributor.author	Parkkonen, Jouni
dc.contributor.author	Paulin, Frédéric
dc.date.accessioned	2024-02-15T10:19:04Z
dc.date.available	2024-02-15T10:19:04Z
dc.date.issued	2024
dc.identifier.citation	Parkkonen, J., & Paulin, F. (2024). Sectorial Mertens and Mirsky formulae for imaginary quadratic number fields. <i>Archiv der Mathematik</i>, <i>Early online</i>. <a href="https://doi.org/10.1007/s00013-023-01952-0" target="_blank">https://doi.org/10.1007/s00013-023-01952-0</a>
dc.identifier.other	CONVID_207047458
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/93418
dc.description.abstract	We extend formulae of Mertens and Mirsky on the asymptotic behaviour of the usual Euler function to the Euler functions of principal rings of integers of imaginary quadratic number fields, giving versions in angular sectors and with congruences.	en
dc.format.mimetype	application/pdf
dc.language.iso	eng
dc.publisher	Birkhäuser
dc.relation.ispartofseries	Archiv der Mathematik
dc.rights	CC BY 4.0
dc.subject.other	Euler function
dc.subject.other	imaginary quadratic number field
dc.subject.other	Mertens formula
dc.subject.other	Mirsky formula
dc.title	Sectorial Mertens and Mirsky formulae for imaginary quadratic number fields
dc.type	article
dc.identifier.urn	URN:NBN:fi:jyu-202402151896
dc.contributor.laitos	Matematiikan ja tilastotieteen laitos	fi
dc.contributor.laitos	Department of Mathematics and Statistics	en
dc.contributor.oppiaine	Analyysin ja dynamiikan tutkimuksen huippuyksikkö	fi
dc.contributor.oppiaine	Matematiikka	fi
dc.contributor.oppiaine	Analysis and Dynamics Research (Centre of Excellence)	en
dc.contributor.oppiaine	Mathematics	en
dc.type.uri	http://purl.org/eprint/type/JournalArticle
dc.type.coar	http://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatus	peerReviewed
dc.relation.issn	0003-889X
dc.relation.volume	Early online
dc.type.version	publishedVersion
dc.rights.copyright	© 2024 the Authors
dc.rights.accesslevel	openAccess	fi
dc.subject.yso	algebra
dc.subject.yso	lukuteoria
dc.format.content	fulltext
jyx.subject.uri	http://www.yso.fi/onto/yso/p12498
jyx.subject.uri	http://www.yso.fi/onto/yso/p1988
dc.rights.url	https://creativecommons.org/licenses/by/4.0/
dc.relation.doi	10.1007/s00013-023-01952-0
jyx.fundinginformation	This research was supported by the French-Finnish CNRS IEA PaCap. Open Access funding provided by University of Jyväskylä (JYU).
dc.type.okm	A1