3 citations · 4 across the 13 of their papers we have counts for
4 papers · 1 filter
Geodesic clustering of zeros of Eisenstein series for congruence groups
Sebastián Carrillo Santana, Gunther Cornelissen, Berend Ringeling
We consider a set of generators for the space of Eisenstein series of varying even weight for any fixed congruence group and study the set of all of their zeros taken for a…
The asymptotic Mahler measure of Gaussian periods
Gunther Cornelissen, David Hokken, Berend Ringeling
We construct a sequence of cyclotomic integers (Gaussian periods) of particularly small Mahler measure/height. We study the asymptotics of their Mahler measure as a function of the…
On twisted period functions and Moments of a weighted mean square of Dirichlet L-functions on the critical line
Sebastien Darses, Berend Ringeling, Emmanuel Royer
We extend to Dirichlet L-functions associated with arbitrary primitive characters a range of objects and properties -- including Eisenstein series and period functions -- that were…
Random walks through the areal Mahler measure: steps in the complex plane
Matilde N. Lalín, Siva Sankar Nair, Berend Ringeling +1
We study the areal Mahler measure of the two-variable, -parameter family and prove explicit formulas that demonstrate its relation to the standard Mahler measure of thes…