CONSTRUCTION OF JACOBI CUSP FORMS USING THE ADJOINT OPERATOR OF A CERTAIN DIFFERENTIAL OPERATOR

We construct Jacobi cusp forms by computing the adjoint of a certain differential operator with respect to the Petersson scalar product in the case of Jacobi forms and Hermitian Jacobi forms. Jacobi cusp forms constructed by this method involve special values of certain Dirichlet series attached to them.

Authors

Shivansh Pandey (ORCID: https://orcid.org/0000-0002-9644-9501)

Publication Details

Journal: Rocky Mountain Journal of Mathematics
Published: 2024-09-26
DOI: https://doi.org/10.1216/rmj.2024.54.1499
Primary Topic: Advanced Algebra and Geometry
Type: article
Field-Weighted Citation Impact: 0.00

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article

CONSTRUCTION OF JACOBI CUSP FORMS USING THE ADJOINT OPERATOR OF A CERTAIN DIFFERENTIAL OPERATOR

Shivansh Pandey

Sep 26, 2024

Rocky Mountain Journal of Mathematics

Advanced Algebra and Geometry

article

CONSTRUCTION OF JACOBI CUSP FORMS USING THE ADJOINT OPERATOR OF A CERTAIN DIFFERENTIAL OPERATOR

Shivansh Pandey

September 26, 2024article en

Abstract

Rocky Mountain Journal of MathematicsVol. 54(5)

Openalex Percentile: Top 72%

Advanced Algebra and Geometry

DOI Source OpenAlex

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CONSTRUCTION OF JACOBI CUSP FORMS USING THE ADJOINT OPERATOR OF A CERTAIN DIFFERENTIAL OPERATOR — Shivansh Pandey · Rocky Mountain Journal of Mathematics (2024) | TGRS Research Map | TGRS