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math.NT2025
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…