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arXiv · 2503.03615

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

Rafail Psyroukis
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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.

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Rafail Psyroukis. 2025-03-05. A note on the twisted degree $6$ $L$-function for Hermitian cusp forms of degree $2$. https://doi.org/10.1142/s1793042126500727

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