On the determinant of Up on Mk(p,χ)

Authors

• Xingyu Huang
• Timothy J. Huber, The University of Texas Rio Grande ValleyFollow
• Dongxi Ye

Document Type

Article

Publication Date

4-16-2025

Abstract

In this work, for p a prime, we compute the absolute value of the determinant of the UpUp-operator on the vector space Mk(p,χ)Mk(p,χ) of holomorphic modular forms of weight k and level Γ0(p)Γ0(p) with character χχ. As an implication, we confirm a number of conjectures of the second author.

Comments

Reprints and permissions

https://rdcu.be/eqdCW

Recommended Citation

Huang, Xingyu, Timothy Huber, and Dongxi Ye. 2025. “On the determinant of Up on Mk(p,χ)” The Ramanujan Journal 67 (2): 39. https://doi.org/10.1007/s11139-025-01084-9.

Publication Title

The Ramanujan Journal

DOI

10.1007/s11139-025-01084-9