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On the order of odd integers modulo $2^n$

Authors
Jung, Soon-MoNam, DoyunRassias, Michael Th
Issue Date
Oct-2019
Publisher
UNIV BELGRADE, FAC ELECTRICAL ENGINEERING
Keywords
Order of odd integers; primitive root; Euler totient function
Citation
APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, v.13, no.2, pp.619 - 631
Journal Title
APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS
Volume
13
Number
2
Start Page
619
End Page
631
URI
https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/1096
DOI
10.2298/AADM190326023J
ISSN
1452-8630
Abstract
In this paper, we investigate the order of odd integers of the forms 2(j)u + 1 and 2(j)u + 3 modulo 2(n), where j is an integer with j >= 2, u is an odd positive integer, and n is an integer with n >= j + 3.
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