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

preprint2012arXivOpen access

Abstract

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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