$p$ -ADIC FORMAL SERIES AND COHENS PROBLEM This work was supported by NSF of China with contract No. 19971096 and No. 90104035.

DOI10.1017/S0017089503001526zbMath1148.11315MaRDI QIDQ4813930

Wenbao Han, Shuqin Fan

Publication date: 7 September 2004

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Exponential sums (11T23) Arithmetic theory of polynomial rings over finite fields (11T55)

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Primitive normal polynomials with the first two coefficients prescribed: a revised \(p\)-adic method ⋮ Primitive normal polynomials with the last half coefficients prescribed ⋮ Self-reciprocal irreducible polynomials with prescribed coefficients ⋮ A construction of primitive polynomials over finite fields ⋮ Character sums over Galois rings and primitive polynomials over finite fields. ⋮ Primitive normal polynomials with multiple coefficients prescribed: an asymptotic result ⋮ A generalization of the Hansen-Mullen conjecture on irreducible polynomials over finite fields ⋮ Explicit theorems on generator polynomials ⋮ Primitive normal polynomials with a prescribed coefficient

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