All Outputs (2)

L-Series of Harmonic Maass Forms and a Summation Formula for Harmonic Lifts (2022)
Journal Article
Diamantis, N., Lee, M., Raji, W., & Rolen, L. (2023). L-Series of Harmonic Maass Forms and a Summation Formula for Harmonic Lifts. International Mathematics Research Notices, 2023(18), 15729-15765. https://doi.org/10.1093/imrn/rnac310

We introduce an L-series associated with harmonic Maass forms and prove their functional equations. We establish converse theorems for these L-series and, as an application, we formulate and prove a summation formula for the holomorphic part of a har... Read More about L-Series of Harmonic Maass Forms and a Summation Formula for Harmonic Lifts.

Derivatives of L-series of weakly holomorphic cusp forms (2022)
Journal Article
Diamantis, N., & Stromberg, F. (2022). Derivatives of L-series of weakly holomorphic cusp forms. Research in the Mathematical Sciences, 9(4), Article 64. https://doi.org/10.1007/s40687-022-00363-x

Based on the theory of L-series associated with weakly holomorphic modular forms in Diamantis et al. (L-series of harmonic Maass forms and a summation formula for harmonic lifts. arXiv:2107.12366), we derive explicit formulas for central values of de... Read More about Derivatives of L-series of weakly holomorphic cusp forms.