An Equivalent Form of Strong Lemoine Conjecture and Several Relevant Results

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Author: Shaohua Zhang
Date: June 2019
Publisher: Springer
Document Type: Report
Length: 107 words

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Byline: Shaohua Zhang (1) Keywords: Lemoine Conjecture; Dusart's inequality; Rosser-Schoenfeld's inequality; Euler totient function; primecounting function; O 156 Abstract: 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. Author Affiliation: (1) grid.449845.0, School of Mathematics and Statistics, Yangtze Normal University, Chongqing, 408102, China Article History: Registration Date: 13/05/2019 Received Date: 18/10/2018 Online Date: 14/05/2019 Article note: Foundation item: Supported by the National Natural Science Foundation of China (11401050), and Scientific Research Innovation Team Project Affiliated to Yangtze Normal University (2016XJTD01)

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Gale Document Number: GALE|A585460347