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

Rafail Psyroukis

doi:10.1142/s1793042126500727

February 20, 2026International Journal of Number Theory

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

View at Publisher

Ask AI

Bookmark

Share

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.

Implication

This note proves meromorphic continuation and a functional equation for a twisted L-function in Hermitian forms, indicating significant properties of these mathematical objects.

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.

Discussion

No takes yet. Share an insight, caveat, or question.

Cite This Study

Rafail Psyroukis (2026) studied this question.

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

View at Publisher

Ask AI

Bookmark

Share

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

Key Points

Implication

Abstract

Discussion

Cite This Study

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

Key Points

Implication

Abstract

Discussion

Cite This Study

Keep reading

Keep reading