Hoffstein and Hulse defined the shifted convolution series of two cusp forms by “shifting” the usual Rankin-Selberg convolution L-series by a parameter h. We use the theory of harmonic Maass forms to study the behavior in h-aspect of certain values of these series and prove a polynomial bound as h →∞. Our method relies on a result of Mertens and Ono, who showed that these values are Fourier coefficients of mixed mock modular forms.
|Number of pages||9|
|Journal||Proceedings of the American Mathematical Society|
|Early online date||9 Dec 2016|
|Publication status||Published - 1 Jan 2017|