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math.NT2022★ 1 cited
Sparse Equidistribution of Geometric Invariants of Real Quadratic Fields
Peter Humphries, Asbjørn Christian Nordentoft
Duke, Imamoglu, and Tóth have recently constructed a new geometric invariant, a hyperbolic orbifold, associated to each narrow ideal class of a real quadratic field. Furthermore, t…
math.NT2022
Central values of additive twists of Maaß forms -functions
Sary Drappeau, Asbjørn Christian Nordentoft
In the present paper we study the central values of additive twists of Maaß forms -series. In the case of the modular group, we show that the additive twists (when averaged over…
math.NT2022
Concentration of closed geodesics in the homology of modular curves
Asbjørn Christian Nordentoft
We prove that the homology classes of closed geodesics associated to subgroups of narrow class groups of real quadratic fields concentrate around the Eisenstein line. This fits int…