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math.NT2024
Spectral decomposition and Siegel-Veech transforms for strata: The case of marked tori
Jayadev Athreya, Jean Lagacé, Martin Möller +1
Generalizing the well-known construction of Eisenstein series on the modular curves, Siegel-Veech transforms provide a natural construction of square-integrable functions on strata…
math.NT2016★ 9 cited
Quasimodularity and large genus limits of Siegel-Veech constants
Dawei Chen, Martin Moeller, Don Zagier
Quasimodular forms were first studied in the context of counting torus coverings. Here we show that a weighted version of these coverings with Siegel-Veech weights also provides qu…
math.NT2015★ 13 cited
Modular embeddings of Teichmueller curves
Martin Moeller, Don Zagier
Fuchsian groups with a modular embedding have the richest arithmetic properties among non-arithmetic Fuchsian groups. But they are very rare, all known examples being related eithe…