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Triple product formula and the subconvexity bound of triple product l-function in level aspect

Yueke Hu MSRI

Number Theory mathscidoc:1703.24018

Distinguished Paper Award in 2017

Amer. J. Math.
In this paper we derived a nice general formula for the local integrals of triple product formula whenever one of the representations has sufficiently higher level than the other two. As an application we generalized Venkatesh and Woodbury’s work on the subconvexity bound of triple product L-function in level aspect, allowing joint ramifications, higher ramifications, general unitary central characters and general special values of local epsilon factors.
triple product integral, subconvexity
[ Download ] [ 2017-03-15 22:54:52 uploaded by yueke ] [ 1639 downloads ] [ 0 comments ] 
@inproceedings{yueketriple,
  title={TRIPLE PRODUCT FORMULA AND THE SUBCONVEXITY BOUND OF TRIPLE PRODUCT L-FUNCTION IN LEVEL ASPECT},
  author={Yueke Hu},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170315225452453091718},
  booktitle={Amer. J. Math.},
}
Yueke Hu. TRIPLE PRODUCT FORMULA AND THE SUBCONVEXITY BOUND OF TRIPLE PRODUCT L-FUNCTION IN LEVEL ASPECT. In Amer. J. Math.. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170315225452453091718.
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