Search

Your search keyword '"11B85 (Primary) 11B37, 11C08, 11R18, 68Q45 (Secondary)"' showing total 2 results
Start Over Descriptor "11B85 (Primary) 11B37, 11C08, 11R18, 68Q45 (Secondary)"
2 results on '"11B85 (Primary) 11B37, 11C08, 11R18, 68Q45 (Secondary)"'

1. Cyclotomic properties of polynomials associated with automatic sequences

Author

Sobolewski, Bartosz

Subjects
Mathematics - Number Theory, 11B85 (Primary) 11B37, 11C08, 11R18, 68Q45 (Secondary)
Abstract

We show that polynomials associated with automatic sequences satisfy a certain recurrence relation when evaluated at a root of unity, which generalizes a result of Brillhart, Lomont and Morton on the Rudin--Shapiro polynomials. We study the minimal order of such a relation and the integrality of its coefficients., Comment: 19 pages, 4 figures; typos corrected

Published
2019

2. Cyclotomic properties of polynomials associated with automatic sequences

Author

Bartosz Sobolewski

Subjects
recurrence relations, Pure mathematics, Recurrence relation, 11B85 (Primary) 11B37, 11C08, 11R18, 68Q45 (Secondary), Relation (database), Mathematics - Number Theory, polynomials, Root of unity, Applied Mathematics, Mathematics::General Topology, cyclotomy, automatic sequences, FOS: Mathematics, Order (group theory), Number Theory (math.NT), Computer Science::Formal Languages and Automata Theory, Mathematics
Abstract

We show that polynomials associated with automatic sequences satisfy a certain recurrence relation when evaluated at a root of unity, which generalizes a result of Brillhart, Lomont and Morton on the Rudin--Shapiro polynomials. We study the minimal order of such a relation and the integrality of its coefficients., 19 pages, 4 figures; typos corrected

Published
2019

Catalog

Books, media, physical & digital resources
See catalog results