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math.NT2019
A note on additive twists, reciprocity laws and quantum modular forms
Asbjorn Christian Nordentoft
We prove that the central values of additive twists of a cuspidal -function define a quantum modular form in the sense of Zagier, generalizing recent results of Bettin and Drapp…
math.NT2019
On the distribution of periods of holomorphic cusp forms and zeroes of period polynomials
Asbjorn Christian Nordentoft
In this paper we determine the limiting distribution of the image of the Eichler--Shimura map or equivalently the limiting joint distribution of the coefficients of the period poly…
math.NT2019
Hybrid subconvexity for class group -functions and uniform sup norm bounds of Eisenstein series
Asbjorn Christian Nordentoft
In this paper we prove a hybrid subconvexity bound for class group -functions associated to a quadratic extension (real or imaginary). Our proof relies on relatin…