Re-extending Chebyshev’s theorem about Bertrand’s conjecture

• Date: 2007
• Main Authors: Shams, Armіn, Шамс, Армін
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2007
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3424
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

In this paper, Chebyshev’s theorem (1850) about Bertrand’s conjecture is re-extended using a theorem about Sierpinski’s conjecture (1958). The theorem had been extended before several times, but this extension is a major extension far beyond the previous ones. At the beginning of the proof, maximal...