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武汉大学学报 英文版 | Wuhan University Journal of Natural Sciences
Wan Fang
Wuhan University
Latest Article
An Equivalent Form of Strong Lemoine Conjecture and Several Relevant Results
ZHANG Shaohua
School of Mathematics and Statistics, Yangtze Normal University, Chongqing 408102, China
In this paper, we consider some problems involving Strong Lemoine Conjecture in additive number theory. Based on Dusart’s inequality and Rosser-Schoenfeld’s inequality, we obtain several new results and give an equivalent form of Strong Lemoine Conjecture.
Key words:Lemoine Conjecture; Dusart’s inequality; Rosser-Schoenfeld’s inequality; Euler totient function; prime- counting function
CLC number: O 156
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