Central values of twisted base change $L$-functions associated to Hilbert modular forms

Qinghua Pi

Central values of twisted base change $L$-functions associated to Hilbert modular forms

Number Theory 2017-09-12 v2

Authors: Qinghua Pi

Abstract

We use relative trace formula to prove a non-vanishing result and a subconvexity result for the twisted base change $L$ -functions associated to Hilbert modular forms whose local components at ramified places are some supercuspidal representations. This generalizes the work of Feigon and Whitehouse.

Keywords

l-functions modular forms trace formula

Cite

@article{arxiv.1707.07307,
  title  = {Central values of twisted base change $L$-functions associated to Hilbert modular forms},
  author = {Qinghua Pi},
  journal= {arXiv preprint arXiv:1707.07307},
  year   = {2017}
}

Comments

24 pages

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