Combinatorics of multisecant Fay identities

Published 29 Oct 2020 in nlin.SI, math-ph, and math.MP | (2010.15473v1)

Abstract: We derive a set of identities for the theta functions on compact Riemann surfaces which generalize the famous trisecant Fay identity. Using these identities we obtain quasiperiodic solutions for a multidimensional generalization of the Hirota bilinear difference equation and for a multidimensional Toda-type system.

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Authors (1)

V. E. Vekslerchik

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