A note on the twisted degree $6$ $L$-function for Hermitian cusp forms of degree $2$

Rafail Psyroukis

A note on the twisted degree $6$ $L$-function for Hermitian cusp forms of degree $2$

Number Theory 2026-03-17 v2

Authors: Rafail Psyroukis

Abstract

Let $F$ be a cuspidal Hermitian eigenform of degree two over $\mathbb{Q}(i)$ , with first Fourier-Jacobi coefficient not identically zero. Building on a paper by Das and Jha, we prove the meromorphic continuation to $\mathbb{C}$ and the functional equation of a degree six $L$ -function attached to $F$ by Gritsenko, twisted by a Dirichlet character.

Keywords

Hermitian cusp forms L-function Dirichlet character meromorphic continuation functional equation

Cite

@article{arxiv.2503.03615,
  title  = {A note on the twisted degree $6$ $L$-function for Hermitian cusp forms of degree $2$},
  author = {Rafail Psyroukis},
  journal= {arXiv preprint arXiv:2503.03615},
  year   = {2026}
}

Comments

9 pages, accepted version

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