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math.NT2022
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…
math.NT2022
Analogues of the Bol operator for half-integral weight weakly holomorphic modular forms
Nikolaos Diamantis, Min Lee, Larry Rolen
We define an analogue of the Bol operator on spaces of weakly holomorphic modular forms of half-integral weight. We establish its main properties and relation with other objects.
math.NT2022★ 2 cited
L-values of harmonic Maass forms
Nikolaos Diamantis, Larry Rolen
Bruinier, Funke, and Imamoglu have proved a formula for what can philosophically be called the "central -value" of the modular -invariant. Previously, this had been heuristic…