On the Determinant of $$U_{p}$$on $$M_{k}(p,\chi )$$

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.

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Recommended Citation

Huang, Xingyu, Timothy Huber, and Dongxi Ye. 2025. “On the Determinant of $$U_{p}$$on $$M_{k}(p,\chi )$$.” 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