Algebraicity of critical values of adjoint $L$-functions for ${\rm GSp}_4$

Shih-Yu Chen

Algebraicity of critical values of adjoint $L$-functions for ${\rm GSp}_4$

Number Theory 2021-02-23 v1

Authors: Shih-Yu Chen

Abstract

We prove an algebraicity result for certain critical value of adjoint $L$ -functions for ${\rm GSp}_4$ over a totally real number field in terms of the Petersson norm of normalized generic cuspidal newforms on ${\rm GSp}_4$ . This is a generalization of our previous result arXiv:1902.06429.

Keywords

adjoint l-functions gsp4 critical values algebraicity petersson norm cuspidal newforms

Cite

@article{arxiv.2102.11197,
  title  = {Algebraicity of critical values of adjoint $L$-functions for ${\rm GSp}_4$},
  author = {Shih-Yu Chen},
  journal= {arXiv preprint arXiv:2102.11197},
  year   = {2021}
}

Related papers

View all related →