Riemann ’ s theta formula

Abstract

There is a myriad of identities satisfied by the Riemann theta function θ(z;Ω) and its close relatives θ [a b ] (z;Ω). The most famous among these theta relations is a quartic relation known to Riemann, associated to a 4×4 orthogonal matrix with all entries ±1; see 1.3. It debuted as formula (12) on p. 20 of [10], and was named Riemann’s theta formula by… (More)

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