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Results on the non-vanishing of derivatives of <i>L</i>-functions of vector-valued modular forms
- Lim, Subong;
- Raji, Wissam
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0초록
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.
키워드
Vector-valued modular forms; L-functions; Critical strip; Jacobi forms; non-vanishing; CUSP FORMS; THEOREM
- 제목
- Results on the non-vanishing of derivatives of <i>L</i>-functions of vector-valued modular forms
- 저자
- Lim, Subong; Raji, Wissam
- 발행일
- 2025-02
- 유형
- Article; Early Access
- 권
- 68
- 호
- 1
- 페이지
- 63 ~ 79