The moment in a sequence of 3 volumes that survey the idea of theta features, this quantity emphasizes the precise houses of the theta capabilities linked to compact Riemann surfaces and the way they bring about suggestions of the Korteweg-de-Vries equations in addition to different non-linear differential equations of mathematical physics.

It provides an specific undemanding building of hyperelliptic Jacobian forms and is a self-contained advent to the idea of the Jacobians. It additionally ties jointly nineteenth-century discoveries because of Jacobi, Neumann, and Frobenius with contemporary discoveries of Gelfand, McKean, Moser, John Fay, and others.

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