A generalized cubic moment and the Petersson formula for newforms
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© 2018, Springer-Verlag GmbH Germany, part of Springer Nature. Using a cubic moment, we prove a Weyl-type subconvexity bound for the quadratic twists of a holomorphic newform of square-free level, trivial nebentypus, and arbitrary even weight. This generalizes work of Conrey and Iwaniec in that the newform that is being twisted may have arbitrary square-free level, and also that the quadratic character may have even conductor. One of the new tools developed in this paper is a more general Petersson formula for newforms of square-free level.
author list (cited authors)
Petrow, I., & Young, M. P.