Trace formula and functional equation

2024/10/22 by Kwan, Chung-Hang, Leung, Wing Hong
#11F12 #11F66 #11F72 #11L05 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2410.16921

Abstract

We present a "beyond-endoscopic" treatment of the functional equation for the standard L-function of a holomorphic cusp form with level and nebentypus. We use Petersson's formula and methods from Venkatesh's thesis and "spectral reciprocity".

Related

• A trace formula derivation of the functional equation for symmetric square L-functions
• Beyond Endoscopy via the trace formula - III: The standard representation
• The Functional Equation and Beyond Endoscopy
• Relative functoriality and functional equations via trace formulas
• A note on a classical relative trace formula