What people are saying - Write a review
We haven't found any reviews in the usual places.
The Modular Group
The Modular Group Fixed Points
Generators and Relations
25 other sections not shown
Other editions - View all
0modN arbitrary behavior boundary branch schema C-dimension c-points called coefficients conjugate converges corresponding cusp form cyclic group defined definition denote differential division values divisor eigenvalues Eisenstein series entire modular form equation equivalent points finite index fixed point follows form of dimension Fourier expansion fundamental region genus Hence holomorphic function holomorphic in Jf homogeneous implies inequivalent inhomogeneous modular form integral lemma linear combination linear transformations maps matrix meromorphic function modN modular function modular group modular transformations modular triangles modulo multiplier natural number neighborhood normal subgroup number of zeros obtain Obviously pairs points equivalent polynomial principal congruence group prove Theorem quadratic form quotient rational cusps rational integers rational point representation residue Riemann surface Riemann-Roch Theorem s-plane satisfy series GN Theorem 14 transformation formula upper half plane variable vector space zero of order