Fay's trisecant identity (source code)

= Fay's trisecant identity
{wiki=Fay's_trisecant_identity}

Fay's trisecant identity is an important result in the theory of elliptic functions and algebraic geometry. It expresses a certain relationship among elliptic functions and their derivatives. In particular, Fay's trisecant identity concerns the trisecant curves associated with an elliptic curve. The identity can be stated in terms of a given elliptic function \\( \\wp(z) \\), which is related to the Weierstrass elliptic functions.