$p$-adic properties of Maass forms arising from theta series
$p$-adic properties of Maass forms arising from theta series
We investigate arithmetic properties of the Fourier coefficients of certain harmonic weak Maass forms of weight 1/2 and 3/2.Each of the forms in question is the sum of a holomorphic function and a period integral of a theta series.In particular, for any positive integer M coprime to 6 we prove …