What question did this study set out to answer?

The aim is to establish meromorphic continuation and the functional equation of a degree six L-function attached to a Hermitian cusp form.

February 22, 2026International Journal of Number Theory0 citations

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

RPRafail PsyroukisDurham University

Key Points

The aim is to establish meromorphic continuation and the functional equation of a degree six L-function attached to a Hermitian cusp form.
Builds upon previous work by Das and Jha.
Proves meromorphic continuation to the complex numbers.
Derives the functional equation associated with the L-function.
Successfully confirms the meromorphic continuation to the complex plane.
Establishes the functional equation of the L-function as expected.

Abstract

Let F be a cuspidal Hermitian eigenform of degree two over ℚ(i), with first Fourier-Jacobi coefficient not identically zero. Building on a paper by Das and Jha, we prove the meromorphic continuation to 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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Cite This Study

Rafail Psyroukis (Fri,) studied this question.

synapsesocial.com/papers/699a9d3c482488d673cd305d https://doi.org/https://doi.org/10.1142/s1793042126500727

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