Geodesic
Explicit Solutions of Pyramidal Diophantine Equations
Canadian mathematical bulletin, Tome 15 (1972) no. 2, pp. 177-184

Voir la notice de l'article provenant de la source Cambridge

DOI

Let P m, k denote the set of pyramidal numbers 1.1 The question has been asked whether there exist elements p, q, r in Pm, k such that p+q = r or, as the problem is usually posed, 1.2 The case k=2 has been studied by Sierpinski [6] and Khatri [3]; the case k=3 by Oppenheim [4] and Segal [5]; recently Fraenkel [2] has generalized (1.1) to the larger set 1.3 
Bernstein, Leon. Explicit Solutions of Pyramidal Diophantine Equations. Canadian mathematical bulletin, Tome 15 (1972) no. 2, pp. 177-184. doi: 10.4153/CMB-1972-032-6
@article{10_4153_CMB_1972_032_6,
     author = {Bernstein, Leon},
     title = {Explicit {Solutions} of {Pyramidal} {Diophantine} {Equations}},
     journal = {Canadian mathematical bulletin},
     pages = {177--184},
     year = {1972},
     volume = {15},
     number = {2},
     doi = {10.4153/CMB-1972-032-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1972-032-6/}
}
TY  - JOUR
AU  - Bernstein, Leon
TI  - Explicit Solutions of Pyramidal Diophantine Equations
JO  - Canadian mathematical bulletin
PY  - 1972
SP  - 177
EP  - 184
VL  - 15
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1972-032-6/
DO  - 10.4153/CMB-1972-032-6
ID  - 10_4153_CMB_1972_032_6
ER  - 
%0 Journal Article
%A Bernstein, Leon
%T Explicit Solutions of Pyramidal Diophantine Equations
%J Canadian mathematical bulletin
%D 1972
%P 177-184
%V 15
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1972-032-6/
%R 10.4153/CMB-1972-032-6
%F 10_4153_CMB_1972_032_6

Cité par Sources :