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Euler product formula
Layer 0 — Mathematics
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arithmetic
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For Re(s)>1: ζ(s) = Π_p (1 − p^{-s})^{-1}. Generalises to L-functions; encodes unique factorisation.
Related concepts
Prime number
Möbius inversion
Abel summation by parts
Monstrous moonshine: j-function coefficients as Monster irreducible dimensions (string-theory)
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