Generalized Fermat, double Fermat and Newton sequences

Baun Sen Du*, Sen Shan Huang, Ming-Chia Li

*Corresponding author for this work

研究成果: Article同行評審

8 引文 斯高帕斯(Scopus)

摘要

In this paper, we discuss the relationship among the generalized Fermat, double Fermat, and Newton sequences. In particular, we show that every double Fermat sequence is a generalized Fermat sequence, and the set of generalized Fermat sequences, as well as the set of double Fermat sequences, is closed under term-by-term multiplication. We also prove that every Newton sequence is a generalized Fermat sequence and vice versa. Finally, we show that double Fermat sequences are Newton sequences generated by certain sequences of integers. An approach of symbolic dynamical systems is used to obtain congruence identities.

原文English
頁(從 - 到)172-183
頁數12
期刊Journal of Number Theory
98
發行號1
DOIs
出版狀態Published - 1 一月 2003

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