On weak harmonic Maass - modular grids of even integral weights

P. Guerzhoy
2009 Mathematical Research Letters  
A number of examples of families of weak Maass forms and modular forms which satisfy a striking equality between their q-expansion coefficients appeared recently. One can formulate this equality by saying that these coefficients constitute a grid. In this paper we consider the simplest setting of even integral weight and full modular group. We prove that for every positive even integral weight a grid exists and is unique.
doi:10.4310/mrl.2009.v16.n1.a7 fatcat:t7rkjjaruncfdaofq3crffb6je