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May 1 at 14:52 comment added IV_ We could look if there is an elementary invertible equation of elementary functions that has $\gamma$ as solution.
Mar 28, 2021 at 20:38 history edited Max Lonysa Muller CC BY-SA 4.0
corrected a typo
Mar 28, 2021 at 8:34 history edited Anixx CC BY-SA 4.0
added 74 characters in body
Mar 28, 2021 at 6:54 history edited Anixx CC BY-SA 4.0
added 649 characters in body
Mar 27, 2021 at 23:22 history became hot network question
Mar 27, 2021 at 17:21 comment added Wojowu Doesn't answer the question but is related: using the theory of exponential motives Fresan and Jossen argue that an analogue of Grothendieck period conjecture for exponential periods implies that $\gamma$ is algebraically independent of $2\pi i$. See Corollary 12.8.8 here.
Mar 27, 2021 at 16:58 answer added Alon Amit timeline score: 10
Mar 27, 2021 at 16:34 comment added Anixx Another relevant link: cp4space.hatsya.com/2020/10/17/closed-form-numbers
Mar 27, 2021 at 16:31 comment added LSpice It seems odd to write "in his system"—the equalities you propose are just equalities (upon making suitable choices of branch for the logarithm function), not dependent on working in any particular system. It seems like you might mean instead "For instance, … show that $1$, $e$, $i$, and $\pi$ are all EL-numbers."
Mar 27, 2021 at 16:30 history edited LSpice CC BY-SA 4.0
Proofreading
Mar 27, 2021 at 15:22 history asked Anixx CC BY-SA 4.0