All Outputs (2)

Period-like polynomials for L-series associated with half-integral weight cusp forms (2024)
Journal Article
Branch, J., Diamantis, N., Raji, W., & Rolen, L. (2024). Period-like polynomials for L-series associated with half-integral weight cusp forms. Research in the Mathematical Sciences, 11(3), Article 44. https://doi.org/10.1007/s40687-024-00455-w

Given the L-series of a half-integral weight cusp form, we construct polynomials behaving similarly to the classical period polynomial of an integral weight cusp form. We also define a lift of half-integral weight cusp forms to integral weight cusp f... Read More about Period-like polynomials for L-series associated with half-integral weight cusp forms.

L-values of harmonic Maass forms (2024)
Journal Article
Diamantis, N., & Rolen, L. (2024). L-values of harmonic Maass forms. Transactions of the American Mathematical Society, 377, 3905-3926. https://doi.org/10.1090/tran/9045

Bruinier, Funke, and Imamoglu have proved a formula for what can philosophically be called the "central L-value" of the modular j-invariant. Previously, this had been heuristically suggested by Zagier. Here, we interpret this "L-value" as the value o... Read More about L-values of harmonic Maass forms.