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

Abstract

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

References in corpus (2)

• Theta correspondences for GSp(4)
• Local Whittaker-Newforms for GSp(4) matching to Langlands parameters