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math.DS2022★ 2 cited
Pairs in discrete lattice orbits with applications to Veech surfaces
Claire Burrin, Samantha Fairchild, Jon Chaika
Let , be two discrete orbits under the linear action of a lattice on the Euclidean plane. We prove a SiegelVeech-type integral formula f…
math.NT2022★ 2 cited
Windings of prime geodesics
Claire Burrin, Flemming von Essen
The winding of a closed oriented geodesic around the cusp of the modular orbifold is computed by the Rademacher symbol, a classical function from the theory of modular forms. In th…