The moment in a sequence of 3 volumes that survey the speculation of theta services, this quantity emphasizes the distinctive homes of the theta features linked to compact Riemann surfaces and the way they result in strategies of the Korteweg-de-Vries equations in addition to different non-linear differential equations of mathematical physics.
It offers an specific straight forward 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 fresh discoveries of Gelfand, McKean, Moser, John Fay, and others.
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