40 research outputs found
A modularity criterion for Klein forms, with an application to modular forms of level
We find some modularity criterion for a product of Klein forms of the
congruence subgroup and, as its application, construct a basis of
the space of modular forms for of weight . In the process we
face with an interesting property about the coefficients of certain theta
function from a quadratic form and prove it conditionally by applying Hecke
operators