A Counting Proof for When 2 Is a Quadratic Residue
Chandrasekhar, Karthik; Ehrenborg, Richard; Beukers, F.
(2020) American Mathematical Monthly, volume 127, issue 8, pp. 750 - 751
(Article)
Abstract
Using the group consisting of the eight Möbius transformations x, – x, 1/x,−1/x, (x−1)/(x+1),(x+1)/(1−x), (x+1)/(x−1), and (1−x)/(x+1), we present an enumerative proof of the classical result for when the element 2 is a quadratic residue in the finite field Fq .show less Download/Full Text
Keywords: quadratic residue, Taverne
ISSN: 0002-9890
Publisher: Mathematical Association of America
(Peer reviewed)