Finite-gap solutions of the Fuchsian equation
Smirnov, Alexander O.
arXiv, 0310465 / Harvested from arXiv
Text on arXiv
We find a new class of the Fuchsian equations, which have an algebraic geometric solutions with the parameter belonging to a hyperelliptic curve. Methods of calculating the algebraic genus of the curve, and its branching points, are suggested. Numerous examples are given.
Publié le : 2003-10-29
Classification:  Mathematics - Classical Analysis and ODEs,  Mathematical Physics,  Mathematics - Spectral Theory,  33E30 (Primary),  34L40,  14H70 (Secondary) 
@article{0310465,
     author = {Smirnov, Alexander O.},
     title = {Finite-gap solutions of the Fuchsian equation},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0310465}
}

Smirnov, Alexander O. Finite-gap solutions of the Fuchsian equation. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0310465/