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- W4295332147 abstract "In this small note, we provide an elementary proof of the fact that infinitely many odd zeta values are irrational. For the first time, this celebrated theorem been proven by Rivoal and Ball--Rivoal. The original proof uses highly non-elementary methods like the saddle-point method and Nesterenko's linear independence criterion. Recently, Zudilin has re-proven a slightly weaker form of his important result that at least one of the odd zeta values $zeta(5),zeta(7),zeta(9)$ and $zeta(11)$ is irrational, by elementary means. His new main ingredient are certain 'twists by half' of hypergeometric series. Generalizing this to 'higher twists' allows us to give a purely elementary proof of the result of Rivoal and Ball--Rivoal." @default.
- W4295332147 created "2022-09-13" @default.
- W4295332147 creator A5015655899 @default.
- W4295332147 date "2018-02-26" @default.
- W4295332147 modified "2023-09-26" @default.
- W4295332147 title "Infinitely many odd zeta values are irrational. By elementary means" @default.
- W4295332147 doi "https://doi.org/10.48550/arxiv.1802.09410" @default.
- W4295332147 hasPublicationYear "2018" @default.
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