2 papers
math.NT2019
Theta series and number fields: theorems and experiments
Adrian Barquero-Sanchez, Guillermo Mantilla-Soler, Nathan C. Ryan
We construct certain -series associated to number fields and prove that for number fields of degree less than equal to 4, these -series are number field invariants. We also i…
math.NT2016
On the Colmez conjecture for non-abelian CM fields
Adrian Barquero-Sanchez, Riad Masri
The Colmez conjecture relates the Faltings height of an abelian variety with complex multiplication by the ring of integers of a CM field to logarithmic derivatives of certain…