Towards 3n - 4 in groups of prime order

We show that if A is a subset of a group of prime order p such that |2.Al < 2.7652|Al and 10 < |A| < 1.25 - 10-®p, then A is contained in an arithmetic progression with at most 2A - [Al + 1 terms, and 2.4 contains an arithmetic progression with the same difference and at least 2|A - 1 terms...

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Detalles Bibliográficos
Autores: Lev, Vsevolod, Serra Albó, Oriol|||0000-0001-8561-4631
Tipo de recurso: artículo
Fecha de publicación:2023
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/392259
Acceso en línea:https://hdl.handle.net/2117/392259
https://dx.doi.org/10.37236/11976
Access Level:acceso abierto
Palabra clave:Sequences (Mathematics)
Partitions (Mathematics)
Successions (Matemàtica)
Particions (Matemàtica)
Classificació AMS::11 Number theory::11B Sequences and sets
Classificació AMS::11 Number theory::11P Additive number theory
partitions
Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de nombres
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oai_identifier_str oai:upcommons.upc.edu:2117/392259
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spelling Towards 3n - 4 in groups of prime orderLev, VsevolodSerra Albó, Oriol|||0000-0001-8561-4631Sequences (Mathematics)Partitions (Mathematics)Successions (Matemàtica)Particions (Matemàtica)Classificació AMS::11 Number theory::11B Sequences and setsClassificació AMS::11 Number theory::11P Additive number theorypartitionsÀrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de nombresWe show that if A is a subset of a group of prime order p such that |2.Al < 2.7652|Al and 10 < |A| < 1.25 - 10-®p, then A is contained in an arithmetic progression with at most 2A - [Al + 1 terms, and 2.4 contains an arithmetic progression with the same difference and at least 2|A - 1 terms. This improves a number of previously known results.Supported by the Spanish Agencia Estatal de Investigación under projects PID2020-113082GBI00 and the Severo Ochoa and Mara de Maeztu Program for Centers and Units of Excellence in R&D (CEX2020- 001084-M)Peer Reviewed20232023-06-1620232023-07-26journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/392259https://dx.doi.org/10.37236/11976reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/3922592026-05-27T15:37:01Z
dc.title.none.fl_str_mv Towards 3n - 4 in groups of prime order
title Towards 3n - 4 in groups of prime order
spellingShingle Towards 3n - 4 in groups of prime order
Lev, Vsevolod
Sequences (Mathematics)
Partitions (Mathematics)
Successions (Matemàtica)
Particions (Matemàtica)
Classificació AMS::11 Number theory::11B Sequences and sets
Classificació AMS::11 Number theory::11P Additive number theory
partitions
Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de nombres
title_short Towards 3n - 4 in groups of prime order
title_full Towards 3n - 4 in groups of prime order
title_fullStr Towards 3n - 4 in groups of prime order
title_full_unstemmed Towards 3n - 4 in groups of prime order
title_sort Towards 3n - 4 in groups of prime order
dc.creator.none.fl_str_mv Lev, Vsevolod
Serra Albó, Oriol|||0000-0001-8561-4631
author Lev, Vsevolod
author_facet Lev, Vsevolod
Serra Albó, Oriol|||0000-0001-8561-4631
author_role author
author2 Serra Albó, Oriol|||0000-0001-8561-4631
author2_role author
dc.subject.none.fl_str_mv Sequences (Mathematics)
Partitions (Mathematics)
Successions (Matemàtica)
Particions (Matemàtica)
Classificació AMS::11 Number theory::11B Sequences and sets
Classificació AMS::11 Number theory::11P Additive number theory
partitions
Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de nombres
topic Sequences (Mathematics)
Partitions (Mathematics)
Successions (Matemàtica)
Particions (Matemàtica)
Classificació AMS::11 Number theory::11B Sequences and sets
Classificació AMS::11 Number theory::11P Additive number theory
partitions
Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de nombres
description We show that if A is a subset of a group of prime order p such that |2.Al < 2.7652|Al and 10 < |A| < 1.25 - 10-®p, then A is contained in an arithmetic progression with at most 2A - [Al + 1 terms, and 2.4 contains an arithmetic progression with the same difference and at least 2|A - 1 terms. This improves a number of previously known results.
publishDate 2023
dc.date.none.fl_str_mv 2023
2023-06-16
2023
2023-07-26
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/392259
https://dx.doi.org/10.37236/11976
url https://hdl.handle.net/2117/392259
https://dx.doi.org/10.37236/11976
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,301629

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