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Sep 25, 2019 at 20:28 comment added Joe Silverman @vidyarthi L & N is certainly a great text for all things related to finite fields, but there are lots of other good expositions of this centuries-old theorem, including the I & R book, and I'm sure many others.
Sep 25, 2019 at 19:26 comment added vidyarthi I hope the authoritative reference for this field is Lidl and Neiderreiter's $\textit{Finite Fields}$
Apr 12, 2018 at 19:59 vote accept Mike
Apr 12, 2018 at 19:59
Apr 12, 2018 at 6:04 comment added KConrad This old theorem is due to Gauss (for prime-order finite fields, the case you describe). See the start of pollack.uga.edu/gauss.pdf and reference [2] there. Maybe I & R make an attribution too, but I don't have it in front of me to check.
Apr 12, 2018 at 1:59 history answered Joe Silverman CC BY-SA 3.0