On R. Chapman's "evil determinant": case p=1 (mod 4)

Details On R. Chapman's "evil determinant": case p=1 (mod 4) On R. Chapman's "evil determinant": case p=1 (mod 4)

2011-08-19

arxiv.org/abs/1108.4031v2

Mathematics

Number Theory

14 pages; typos corrected; corollary 1 added

Scientific paper

For p=1 (mod 4), we prove the formula (conjectured by R. Chapman) for the
determinant of the matrix C with C(i,j)=LegendreSymbol(j-i,p),
i,j=0,...,(p-1)/2.

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