3 papers
math.NT2026
On the classification of small cyclotomic integers
Jitendra Bajpai, Srijan Das, Kiran S. Kedlaya +1
We give a general classification theorem for cyclotomic algebraic integers with all complex absolute values bounded by a fixed constant , modeled on the theorem of Cassels which…
math.AG2026
Hierarchical Locally Recoverable Codes on surfaces
Carolina Araujo, Luana Costa, Beth Malmskog +4
We construct locally recoverable codes with hierarchy from surfaces in admitting a fibration by curves of Artin-Schreier or Kummer type. We derive the parameters of…
math.NT2025
The exceptional set in Cassel's theorem on small cyclotomic integers
Jitendra Bajpai, Srijan Das, Kiran S. Kedlaya +4
In a 1965 paper, R. Robinson made five conjectures about the classification of cyclotomic algebraic integers for which the maximum absolute value in any complex embedding (the hous…