Modular Solutions to Equations of Generalized Halphen Type
Harnad, J. ; McKay, J.
arXiv, 9804006 / Harvested from arXiv
Text on arXiv
Solutions to a class of differential systems that generalize the Halphen system are determined in terms of automorphic functions whose groups are commensurable with the modular group. These functions all uniformize Riemann surfaces of genus zero and have $q$--series with integral coefficients. Rational maps relating these functions are derived, implying subgroup relations between their automorphism groups, as well as symmetrization maps relating the associated differential systems.
Publié le : 1998-04-09
Classification:  Nonlinear Sciences - Exactly Solvable and Integrable Systems,  High Energy Physics - Theory,  Mathematical Physics,  Mathematics - Quantum Algebra 
@article{9804006,
     author = {Harnad, J. and McKay, J.},
     title = {Modular Solutions to Equations of Generalized Halphen Type},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9804006}
}

Harnad, J.; McKay, J. Modular Solutions to Equations of Generalized Halphen Type. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9804006/