I wrote a bit about the connection between the zeta function ζ(s) and the primes, a relationship discovered by Euler in 1737 (the so-called product formula or as Derbyshire calls it, the "golden key" [1]).

Some of my notes are here: https://davidmeyer.github.io/qc/Euler_product_formula_for_the_Riemann_zeta_function.pdf. The LaTex source is here: https://www.overleaf.com/read/hvqdtdyftqpb.

As always, questions/comments/corrections/* greatly appreciated.

#math #zetafunction #goldenkey #primes #euler

References
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[1] John Derbyshire. Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics. The National Academies Press, Washington, DC, 2003.