2 papers
math.NT2026
Cyclotomic Congruences and Lucas Sequences
Tyler Ross, Zhongyan Shen, Tianxin Cai
In this paper, we extend the -adic valuations originally obtained by Carmichael for the sequences obtained by applying Möbius inversion to Lucas sequences to -adic congruenc…
math.NT2025
The -adic Valuations of Möbius Duals of Lucas Sequences
Tyler Ross, Zhongyan Shen, Tianxin Cai
In this paper, we extend the -adic valuations of the Möbius duals of Lucas sequences, originally obtained by Carmichael for regular Lucas sequences to irregular Lucas sequences…