Certain quantities transcendental over \(\text{GF}(p^n,x)\). (English) Zbl 0063.08101

Wade, L. I.

Duke Math. J. 8, 701-720 (1941).

From the introduction: Let \(\text{GF}(q)\), \(q=p^n\), denote a fixed finite Galois field of order \(q\); let \(x\) be an indeterminate over the field \(\text{GF}(q)\). If \(x\) is adjoined to the field \(\text{GF}(q)\), a new field \(\text{GF}(q, x)\) is obtained. We are interested here in the nature of certain quantities over the field \(\text{GF}(q, x)\). “Transcendental” will mean ”transcendental over \(\text{GF}(q, x)\)”.
For details see the review of Part II [Duke Math. J. 10, 587–594 (1943; Zbl 0063.08102)].
(revised)

MSC:

11T06

Polynomials over finite fields

Citations:

Zbl 0063.08102