Counting sums of exceptional units in $ \mathbb{Z}_n $

Counting sums of exceptional units in $ \mathbb{Z}_n $

Let $ R $ be a commutative ring with the identity $ 1_{R} $, and let $ R^* $ be the multiplicative group of units in $ R $. An element $ a\in R^* $ is called an exceptional unit if there exists a $ b\in R^* $ such that $ a+b = 1_{R} $. We set $ R^{**} $ to be the set of all exceptional units in $ R...

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Bibliographic Details
Main Author: Junyong Zhao
Format: Article
Language:English
Published: AIMS Press 2024-08-01
Series:AIMS Mathematics
Subjects:
exceptional unit
circulant matrix
residue class rings
linear congruence
exponential sums
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20241195?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.20241195?viewType=HTML

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