The moment in a chain of 3 volumes that survey the idea of theta features, this quantity emphasizes the designated houses of the theta services linked to compact Riemann surfaces and the way they bring about ideas of the Korteweg-de-Vries equations in addition to different non-linear differential equations of mathematical physics.
It offers an specific simple building of hyperelliptic Jacobian types and is a self-contained creation 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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