K. S. McCurley, `Irregularities in the distribution of irreducible polynomials ', Proc. Amer. Math. Soc., 117(1993), 11--16. Home/Search Document Not in Database Summary Related Articles |
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Open Problems And Conjectures In Finite Fields - Mullen, Shparlinski (1996) (1 citation) (Correct)
.... of irreducible and primitive polynomials is given in Chapter 3 of [78] see also [58] The majority of the results show that such polynomials are uniformly distributed in various subsets of F q [x] The only result known to the authors about non uniformity of distribution belongs to McCurley [50]: for any 0, there exist infinitely many n and monic polynomials f of degree n over F q such that f g is reducible for all g 2 F q [x] of degree deg g log q n log q log q n Gamma 2 log q log q log q n (1 Gamma ) log q log q log q log q n: A similar bound with just log q n on the ....
K. S. McCurley, `Irregularities in the distribution of irreducible polynomials ', Proc. Amer. Math. Soc., 117(1993), 11--16.
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