Fourier Coefficients of Vector-valued Modular Forms of Dimension 2 Journal Articles

abstract

• AbstractWe prove the following theorem. Suppose that F = ( f1, f2) is a 2-dimensional, vectorvalued modular form on SL2(ℤ) whose component functions f1, f2 have rational Fourier coefficients with bounded denominators. Then f1, f2 are classical modular forms on a congruence subgroup of the modular group.

authors

• Franc, Cameron
• Mason, Geoffrey

status

• published 

publication date

• September 1, 2014

has subject area

• 0101 Pure Mathematics (FoR)
• General Mathematics (Science Metrix)

published in

• Canadian Mathematical Bulletin  Journal

keywords

• EQUATION
• Mathematics
• Physical Sciences
• Science & Technology
• bounded denominators
• modular group
• vector-valued modular form

Digital Object Identifier (DOI)

• 10.4153/cmb-2014-007-3

start page

• 485

end page

• 494

volume

• 57

issue

• 3