TY - JOUR
T1 - When is a polygonal pyramid number again polygonal?
AU - Kaneko, Masanobu
AU - Tachibana, Katsuichi
PY - 2002
Y1 - 2002
N2 - We consider a Diophantine equation arising from a generalization of the classical Lucas problem of the square pyramid: when is the sum of the first m-gonal numbers n-gonal? We use the theory of elliptic surfaces to deduce several families of parametric solutions of the problem.
AB - We consider a Diophantine equation arising from a generalization of the classical Lucas problem of the square pyramid: when is the sum of the first m-gonal numbers n-gonal? We use the theory of elliptic surfaces to deduce several families of parametric solutions of the problem.
UR - http://www.scopus.com/inward/record.url?scp=0036520729&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0036520729&partnerID=8YFLogxK
U2 - 10.1216/rmjm/1030539614
DO - 10.1216/rmjm/1030539614
M3 - Article
AN - SCOPUS:0036520729
SN - 0035-7596
VL - 32
SP - 149
EP - 165
JO - Rocky Mountain Journal of Mathematics
JF - Rocky Mountain Journal of Mathematics
IS - 1
ER -