4 papers
Averages of multiplicative functions along equidistributed sequences
Stephanie Chan, Peter Koymans, Carlo Pagano +1
For a general family of non-negative functions matching upper and lower bounds are established for their average over the values of any equidistributed sequence.
Brauer-Manin obstructions requiring arbitrarily many Brauer classes
Jennifer Berg, Carlo Pagano, Bjorn Poonen +4
On a projective variety defined over a global field, any Brauer--Manin obstruction to the existence of rational points is captured by a finite subgroup of the Brauer group. We show…
Abelian dynamical Galois groups for unicritical polynomials
Andrea Ferraguti, Carlo Pagano
Andrews and Petsche proposed in 2020 a conjectural characterization of all pairs , where is a polynomial over a number field and , such that the dynamical Ga…
Two-step nilpotent extensions are not anabelian
Peter Koymans, Carlo Pagano
We prove the existence of two non-isomorphic number fields and such that the maximal two-step nilpotent quotients of their absolute Galois groups are isomorphic. In particu…