EVALUATIONS ON THE MEAN VALUE FORMULA OF ATKINSON-TYPE FOR MODULAR L FUNCTIONS
We consider an integral of a modular Lfunction, which was introduced by Jutila [5], and prove a mean value formula and an omega result on it. Our theorems and their proofs are analogous to those of Heath-Brown [2] and of Heath-Brown and Tsang [3].
modular Lfunction, Atkinson formula, mean value, error term, sign change, omega result.
