scholarly journals Halphen's transform and middle convolution

2015 ◽  
Vol 2015 (704) ◽  
pp. 1-20
Author(s):  
Stefan Reiter
Keyword(s):  
Monodromy Group ◽  
Quaternion Algebra ◽  
Lamé Equations ◽  
Lamé Equation ◽  
Symmetric Square ◽  
Euler Transform ◽  
Middle Convolution ◽  
Lame Equations

AbstractWe show that the Halphen transform of a Lamé equation can be written as the symmetric square of the Lamé equation followed by an Euler transform. We use this to compute a list of Lamé equations with arithmetic Fuchsian monodromy group. It contains all those Lamé equations where the quaternion algebra

scholarly journals Higher Lamé Equations and Critical Points of Master Functions

2007 ◽  
Vol 7 (3) ◽  
pp. 533-542 ◽  
Author(s):  
E. Mukhin ◽  
V. Tarasov ◽  
A. Varchenko
Keyword(s):  
Critical Points ◽  
Lamé Equations ◽  
Lame Equations
Sign in / Sign up

Export Citation Format

Share Document