论文标题
多年FAY身份的组合
Combinatorics of multisecant Fay identities
论文作者
论文摘要
我们在紧凑的riemann表面上得出了一组theta函数的身份,这些函数概括了著名的三角球体身份。使用这些身份,我们获得了二磷酸化溶液,以实现对海洛塔双线性差方程和多维TODA型系统的多维概括。
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.