Article ID Journal Published Year Pages File Type
4593232 Journal of Number Theory 2016 77 Pages PDF
Abstract

We define, and obtain the meromorphic continuation of, shifted Rankin–Selberg convolutions in one and two variables. As sample applications, this continuation is used to obtain estimates for single and double shifted sums and a Burgess-type bound for L-series associated to modular forms of arbitrary central character. Further applications are furnished by subsequent works by the authors and their colleagues.

Keywords
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
, , ,