We know that it is possible to prove some number theoretic congruences by using group theoretic tools like Burnside's Lemma for orbit counting. Many of these congruences also hold for $F[x]$ where $F$ is a finite field. Is it possible to generalise group theoretic tools to prove such congruences in $F[x]$?
2026-03-25 17:35:07.1774460107
Analogy between group theoretic number theory proofs and function fields
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