A generalized cubic moment and the Petersson formula for newforms Academic Article

abstract

• 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.

authors

• Young, Matthew

published proceedings

• MATHEMATISCHE ANNALEN

altmetric score

• 0.5

author list (cited authors)

• Petrow, I., & Young, M. P.

citation count

• 23

complete list of authors

• Petrow, Ian||Young, Matthew P

publication date

• February 2019

publisher

• Springer Nature  Publisher

published in

• Mathematische Annalen  Journal

keywords

• 49 Mathematical Sciences
• 4904 Pure Mathematics

Digital Object Identifier (DOI)

• 10.1007/s00208-018-1745-1

start page

• 287

end page

• 353

volume

• 373

issue

• 1-2

URL

• http://dx.doi.org/10.1007/s00208-018-1745-1