Can any one give a hint to prove that, there are infinitely many irreducibles in $F_q[T]$, function field.
2026-04-09 18:15:34.1775758534
How to prove that there are infinitely many irreducibles in $F_q[T]$
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Hint: Try adopting Euclid’s proof that there are infinitely many prime numbers. Remember that the common definition of “prime” for the integers is really the definition of “irreducible” in the context of number theory!