3 papers
math.NT2026
Constructive Proof of Two Characterizations of Arithmetic Equivalence
Shaver Phagan
We prove a formula governing the combinatorics of cyclic group actions and extend a lemma of Hasse to account for ramification. Consequently, we obtain the first constructive proof…
math.NT2025
Exceptional Primes in Notions of Arithmetic Similarity
Shaver Phagan
A notion of arithmetic similarity between number fields is defined by requiring equality of some arithmetic statistics over all but finitely many rational primes. The exceptional s…
math.NT2024
Corresponding Abelian Extensions of Integrally Equivalent Number Fields
Shaver Phagan
Extensive work has been done to determine necessary and sufficient conditions for a bijective correspondence of abelian extensions of number fields to force an isomorphism of the b…