Publication:
P-ADIC valuation of Lucas iteration sequences

Issued Date

2018-11-01

Resource Type

Article

ISSN

00150517

Other identifier(s)

2-s2.0-85058052094

Rights

Mahidol University

Rights Holder(s)

SCOPUS

Bibliographic Citation

Fibonacci Quarterly. Vol.56, No.4 (2018), 348-353

Suggested Citation

Chatchawan Panraksa, Aram Tangboonduangjit P-ADIC valuation of Lucas iteration sequences. Fibonacci Quarterly. Vol.56, No.4 (2018), 348-353. Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/46094

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Title

P-ADIC valuation of Lucas iteration sequences

Author(s)

Chatchawan Panraksa
 Aram Tangboonduangjit

Other Contributor(s)

Mahidol University

Abstract

© 2018 The Fibonacci Association. All rights reserved. This work generalizes results on exact divisibility of powers of the Fibonacci number Fkn into another Fibonacci number Gk(n) defined iteratively by G1(n) = Fn and Gk(n) = FnGk-1(n) for k ≥ 2. In particular, we prove analogous results on nondegenerate Lucas sequences by providing explicit formulas for p-adic valuation of iterative terms in these sequences. The proof makes use of recent results by Sanna regarding the p-adic valuation of Lucas sequences.

Keyword(s)

Mathematics

Availability

URI

https://repository.li.mahidol.ac.th/handle/20.500.14594/46094

Collections

Scopus 2018