On R. Chapman's "evil determinant": case p ≡ 1 (mod 4)
Acta Arithmetica (2013)
- Volume: 159, Issue: 4, page 331-344
- ISSN: 0065-1036
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topMaxim Vsemirnov. "On R. Chapman's "evil determinant": case p ≡ 1 (mod 4)." Acta Arithmetica 159.4 (2013): 331-344. <http://eudml.org/doc/279815>.
@article{MaximVsemirnov2013,
abstract = {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 $C=(C_\{ij\})$ with $C_\{ij\} = ((j-i)/p)$.},
author = {Maxim Vsemirnov},
journal = {Acta Arithmetica},
keywords = {Legendre symbol; determinant; Cauchy determinant; Dirichlet's class number formula},
language = {eng},
number = {4},
pages = {331-344},
title = {On R. Chapman's "evil determinant": case p ≡ 1 (mod 4)},
url = {http://eudml.org/doc/279815},
volume = {159},
year = {2013},
}
TY - JOUR
AU - Maxim Vsemirnov
TI - On R. Chapman's "evil determinant": case p ≡ 1 (mod 4)
JO - Acta Arithmetica
PY - 2013
VL - 159
IS - 4
SP - 331
EP - 344
AB - 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 $C=(C_{ij})$ with $C_{ij} = ((j-i)/p)$.
LA - eng
KW - Legendre symbol; determinant; Cauchy determinant; Dirichlet's class number formula
UR - http://eudml.org/doc/279815
ER -
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