High-dimensional Lehmer problem on Beatty sequences

Let $ q $ be a positive integer. For each integer $ a $ with $ 1 \leqslant a < q $ and $ (a, q) = 1 $, it is clear that there exists one and only one $ \bar{a} $ with $ 1 \leqslant\bar{a} < q $ such that $ a \bar{a} \equiv 1(q) $. Let $ k $ be any fixed integer with $ k \geq 2, 0 &...

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Bibliographic Details
Main Authors: Xiaoqing Zhao, Yuan Yi
Format: Article
Language:English
Published: AIMS Press 2023-04-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023684?viewType=HTML