4 papers · 1 filter
Sums of Kloosterman sums formed with modular symbols
Nikolaos Diamantis, Solomon Friedberg, Fredrik Strömberg
We study sums of Kloosterman sums formed with a modular symbol. Employing Tauberian methods, we first give an estimate for a (Riesz) sum of Ramanujan sums formed with a modular sym…
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 -series of harmonic…
Summation formulas for Hurwitz class numbers and other mock modular coefficients
Olivia Beckwith, Nikolaos Diamantis, Rajat Gupta +2
We prove a formula for weighted sums of the first coefficients of mock modular forms of moderate growth and apply it to Hurwitz class numbers and coefficients of negative half…
Derivatives of -series of weakly holomorphic cusp forms
Nikolaos Diamantis, Fredrik Strömberg
Based on the theory of -series associated with weakly holomorphic modular forms in \cite{DLRR}, we derive explicit formulas for central values of derivatives of -series as in…