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math.NT2025
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…
math.NT2025
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…
math.NT2022
On Lehmer's question for integer-valued polynomials
Berend Ringeling
We solve a Lehmer-type question about the Mahler measure of integer-valued polynomials.