Hyperelliptic theta-functions and spectral methods
نویسندگان
چکیده
منابع مشابه
5 Hyperelliptic Theta - Functions and Spectral Methods
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(−1)(1!2! · · · (n− 1)!) σ(nu) σ(u)n = ∣∣∣∣∣∣∣ ℘ ℘ · · · ℘ ℘ ℘ · · · ℘ .. .. . . . .. ℘ ℘ · · · ℘ ∣∣∣∣∣∣∣ (u). (0.2) Although this formula can be obtained by a limiting process from (0.1), it was found before [FS] by the paper of Kiepert [K]. If we set y(u) = 1 2℘ (u) and x(u) = ℘(u), then we have an equation y(u) = x(u)+ · · · , that is a defining equation of the elliptic curve to which the fu...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2004
ISSN: 0377-0427
DOI: 10.1016/j.cam.2003.10.003