The Petersson/Kuznetsov trace formula with prescribed local ramifications

Yueke Hu Yau Mathematical Sciences Center, Tsinghua University, Beijing 100084, China

Number Theory mathscidoc:2206.24015

In this paper we derive refined Petersson/Kuznetsov trace formulae with prescribed local ramifications. The spectral side of these formulae are much shorter than the standard versions. We use them to study the first moment and the subconvexity bound of certain Rankin-Selberg L-function in a hybrid setting.
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@inproceedings{yuekethe,
  title={The Petersson/Kuznetsov trace formula with prescribed local ramifications},
  author={Yueke Hu},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220629151804718049491},
}
Yueke Hu. The Petersson/Kuznetsov trace formula with prescribed local ramifications. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220629151804718049491.
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