The moment in a sequence of 3 volumes that survey the speculation of theta capabilities, this quantity emphasizes the precise houses of the theta services linked to compact Riemann surfaces and the way they result in options of the Korteweg-de-Vries equations in addition to different non-linear differential equations of mathematical physics.
It provides an particular basic development of hyperelliptic Jacobian kinds and is a self-contained advent to the speculation of the Jacobians. It additionally ties jointly nineteenth-century discoveries because of Jacobi, Neumann, and Frobenius with fresh discoveries of Gelfand, McKean, Moser, John Fay, and others.
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