On R. Chapman's "evil determinant": case p ≡ 1 (mod 4)
Maxim Vsemirnov
Acta Arithmetica, Tome 161 (2013), p. 331-344 / Harvested from The Polish Digital Mathematics Library
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For p ≡ 1 (mod 4), we prove the formula (conjectured by R. Chapman) for the determinant of the (p+1)/2 × (p+1)/2 matrix C=(Cij) with Cij=((j-i)/p).

Publié le : 2013-01-01
EUDML-ID : urn:eudml:doc:279815 
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     author = {Maxim Vsemirnov},
     title = {On R. Chapman's "evil determinant": case p [?] 1 (mod 4)},
     journal = {Acta Arithmetica},
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     year = {2013},
     pages = {331-344},
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     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa159-4-3}
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Maxim Vsemirnov. On R. Chapman's "evil determinant": case p ≡ 1 (mod 4). Acta Arithmetica, Tome 161 (2013) pp. 331-344. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa159-4-3/