Modular Solutions to Equations of Generalized Halphen Type
solv-int
2009-10-31 v3 High Energy Physics - Theory
Mathematical Physics
math.MP
Quantum Algebra
Exactly Solvable and Integrable Systems
Abstract
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 --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.
Cite
@article{arxiv.solv-int/9804006,
title = {Modular Solutions to Equations of Generalized Halphen Type},
author = {J. Harnad and J. McKay},
journal= {arXiv preprint arXiv:solv-int/9804006},
year = {2009}
}
Comments
PlainTeX 36gs. (Formula for Hecke operator corrected.)