Abstract
We prove a general Vorono\u{\i} formula for cuspidal automorphic representations of ${\rm GL}(n)$ over number fields. This generalizes recent work by Miller-Schmid and Goldfeld-Li on Maass forms. Our method follows closely the adelic framework of integral representations of $L$-functions. The proof is flexible enough to allow ramification and we propose possible variants. For example the assumption that the additive twist is trivial at places where the representation is ramified is sufficient to obtain an explicit final statement with hyper-Kloosterman sums.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
