Iwasawa Main Conjecture for Rankin-Selberg p-adic L-functions

Xin Wan Morningside Center of Mathematics, AMSS, Chinese Academy of Science

Number Theory mathscidoc:1703.24006

to appear in Algebra and Number Theory
In this paper we prove the Iwasawa main conjecture for the Rankin-Selberg product of a general modular form and a CM form of higher weight. This result has been used by others to prove the converse of the theorem of Gross-Zagier and Kolyvagin, and the BSD formula for elliptic curves of analytic rank one.
Iwasawa main conjecture, Rankin-Selberg
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@inproceedings{xiniwasawa,
  title={Iwasawa Main Conjecture for Rankin-Selberg p-adic L-functions},
  author={Xin Wan},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170309170513677564640},
  booktitle={to appear in Algebra and Number Theory},
}
Xin Wan. Iwasawa Main Conjecture for Rankin-Selberg p-adic L-functions. In to appear in Algebra and Number Theory. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170309170513677564640.
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