J. Pimm

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math.NT2025

Summation Formulas for Harmonic Maass Forms

Nikolaos Diamantis, Joshua Pimm

In a previous work (arXiv:2505.05574), a summation formula for harmonic Maass forms of polynomial growth was established. In this note, we use the theory of $L$ -series of harmonic…

math.NT2023

Real-analytic modular forms for $Γ_{0} (N)$ and their $L$ -series

Joshua Drewitt, Joshua Pimm

We introduce an $L$ -series associated to real-analytic modular forms which transform with weight $(r, s) \in Z^{2}$ under $Γ_{0} (N)$ . These $L$ -series satisfy a functional equati…

Summation Formulas for Harmonic Maass Forms

Real-analytic modular forms for Γ0​(N) and their L-series

Real-analytic modular forms for $Γ_{0} (N)$ and their $L$ -series