Results on the non-vanishing of derivatives of L-functions of vector-valued modular forms
Year: 2024
Type: article
Abstract: We prove the existence of a vector-valued cusp form for the full modular group for which the nth derivative of its L-function does not vanish under certain conditions. As an application, we generalize our result to Kohnen’s plus space and prove an analogous result for Jacobi forms.
Authors: Subong Lim, Wissam Raji
Institutions: Sungkyunkwan University, American University of Beirut
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,450
OpenAlex ID: W4404592317