On arithmetic progressions in finite fields.

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MetadadosDescriçãoIdioma
Autor(es): dc.creatorLemos , Abílio-
Autor(es): dc.creatorNeumann, Victor Gonzalo Lopez-
Autor(es): dc.creatorRibas, Sávio-
Data de aceite: dc.date.accessioned2025-08-21T15:59:55Z-
Data de disponibilização: dc.date.available2025-08-21T15:59:55Z-
Data de envio: dc.date.issued2025-01-07-
Data de envio: dc.date.issued2025-01-07-
Data de envio: dc.date.issued2022-
Fonte completa do material: dc.identifierhttps://www.repositorio.ufop.br/handle/123456789/19410-
Fonte completa do material: dc.identifierhttps://link.springer.com/article/10.1007/s10623-023-01201-z-
Fonte completa do material: dc.identifierhttps://doi.org/10.1007/s10623-023-01201-z-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/1029623-
Descrição: dc.descriptionIn this paper, we explore the existence of m-term arithmetic progressions in Fqn with a given common difference whose terms are all primitive elements, and at least one of them is normal. We obtain asymptotic results for m ≥ 4 and concrete results for m ∈ {2, 3}, where the complete list of exceptions when the common difference belongs to Fq is obtained. The proofs combine character sums, sieve estimates and computational arguments using the software SageMath.-
Formato: dc.formatapplication/pdf-
Idioma: dc.languageen-
Direitos: dc.rightsrestrito-
Palavras-chave: dc.subjectFinite fields-
Palavras-chave: dc.subjectPrimitive elements-
Palavras-chave: dc.subjectNormal elements-
Palavras-chave: dc.subjectArithmetic progressions-
Palavras-chave: dc.subjectCharacter sums-
Título: dc.titleOn arithmetic progressions in finite fields.-
Aparece nas coleções:Repositório Institucional - UFOP

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