Paper
The weight two and opposite sign cases for the Fourier relative trace formulas
Authors
Matteo Di Scipio
Abstract
We provide an adelic relative trace formula proof to the Petersson/Bruggeman-Kuznetsov (PBK) formulas, specifically in the holomorphic case for $κ=2$ and the non-holomorphic case for $m_1m_2<0$. Given two sets of hypothesis on the non archimedean test function $f$, called the geometric and spectral assumptions, this approach allows us to obtain refined PBK formulas.
Metadata
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Raw Data (Debug)
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