Daniel Tubbenhauer and Holly Krieger on The Riemann Hypothesis

See https://en.wikipedia.org/wiki/Farey_sequence#Riemann_hypothesis which gives another equivalent statement in terms of the points in the Farey sequence.

See also Lewis Carroll - Crocodile Story.

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Here's aother (the Mertens Conjecture) which, though not equiavlent to it, would have implied the Riemann Hypothesis, but it's false, according to a long complicated (1984) paper by A. M. Odlyzko and H. J. J. te Riele 

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Katherine Stange on The Real Numbers.

See Caroline Series' (1985) Mathematical Intelligencer article The geometry of markoff numbers.which you can read for free here: https://perso.univ-rennes1.fr/serge.cantat/Documents/series-geometry-markoff.pdf. See also her earlier Non-euclidean geometry, continued fractions, and ergodic theory.available here: https://sci-hub.se/10.1007/bf03022992. The origins of continued fraction expansions go back to Ancient Greece and the Eudoxan theory of proprtion described by Aristotle which makes up the fifth book of Euclid's Elements. See Sabine Hossenfelder on Complexity.

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See also Daniel Tubbenhauer on p-adic Arithmetic and Colleen Fazio - Traynor YBA3 Custom Special.

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