6 papers · 1 filter
Joint equidistribution of newforms
Asbjørn Christian Nordentoft, Radu Toma
Let be a compact arithmetic hyperbolic surface associated to a maximal quaternion order, let be a cover associated to an Eichler suborder of prime level , and let $ι…
-adic moments of -functions
Daniel Kriz, Asbjørn Christian Nordentoft
We obtain a formula for the -adic valuation of weighted moments of central -values of holomorphic cusp forms twisted by Dirichlet characters of order . In some cases we gi…
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…
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…
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…
Central values of additive twists of cuspidal -functions
Asbjorn Christian Nordentoft
Additive twists are important invariants associated to holomorphic cusp forms; they encode the Eichler--Shimura isomorphism and contain information about automorphic -functions.…