Optimality for the two-parameter quadratic sieve

dc.contributor.author	Carneiro, Emanuel
dc.contributor.author	Helfgott, Harald Andrés
dc.contributor.author	Chirre, Andrés
dc.contributor.author	Mejía-Cordero, Julián
dc.date.accessioned	2023-03-03T14:42:00Z
dc.date.available	2023-03-03T14:42:00Z
dc.date.created	2022-10-31T11:04:58Z
dc.date.issued	2022
dc.identifier.citation	Acta Arithmetica. 2022, 203 (3), 195-226.	en_US
dc.identifier.issn	0065-1036
dc.identifier.uri	https://hdl.handle.net/11250/3055813
dc.description.abstract	We study the two-parameter quadratic sieve for an arbitrary smoothing function. We prove, under some very general assumptions, that the function considered by Barban and Vekhov (1968) and Graham (1978) for this problem is optimal up to and including the second-order term. We determine that second-order term explicitly.	en_US
dc.language.iso	eng	en_US
dc.publisher	Instytut Matematyczny	en_US
dc.rights	Navngivelse 4.0 Internasjonal	*
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/deed.no	*
dc.title	Optimality for the two-parameter quadratic sieve	en_US
dc.title.alternative	Optimality for the two-parameter quadratic sieve	en_US
dc.type	Peer reviewed	en_US
dc.type	Journal article	en_US
dc.description.version	acceptedVersion	en_US
dc.source.pagenumber	195-226	en_US
dc.source.volume	203	en_US
dc.source.journal	Acta Arithmetica	en_US
dc.source.issue	3	en_US
dc.identifier.doi	10.4064/aa201018-5-1
dc.identifier.cristin	2066653
cristin.ispublished	true
cristin.fulltext	postprint
cristin.qualitycode	1

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