Geodesic
On R. Chapman's “evil determinant”: case $p\equiv 1\pmod4$
Maxim Vsemirnov1
1 St. Petersburg Department of V. A. Steklov Institute of Mathematics 27 Fontanka St. Petersburg, 191023, Russia and Department of Mathematics and Mechanics St. Petersburg State University 28 University prospekt St. Petersburg, 198504, Russia
Acta Arithmetica, Tome 159 (2013) no. 4, pp. 331-344

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

For $p\equiv 1\ ({\rm mod}\,4)$, we prove the formula (conjectured by R. Chapman) for the determinant of the $\frac {p+1}{2}\times \frac {p+1}{2}$ matrix $C=(C_{ij})$ with $C_{ij}=\genfrac {(}{)}{}{1}{j-i}{p}$.
DOI : 10.4064/aa159-4-3
Keywords: equiv mod prove formula conjectured chapman determinant frac times frac matrix genfrac j i

Maxim Vsemirnov 1

1 St. Petersburg Department of V. A. Steklov Institute of Mathematics 27 Fontanka St. Petersburg, 191023, Russia and Department of Mathematics and Mechanics St. Petersburg State University 28 University prospekt St. Petersburg, 198504, Russia 
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Maxim Vsemirnov. On R. Chapman's “evil determinant”: case $p\equiv 1\pmod4$. Acta Arithmetica, Tome 159 (2013) no. 4, pp. 331-344. doi: 10.4064/aa159-4-3

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