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Triangular Numbers and Elliptic Curves
Chahal, J. S. & Top, J., 1996, In : Rocky mountain journal of mathematics. 26, p. 937-949 13 p.Research output: Contribution to journal › Article › Academic › peer-review
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Triangular Numbers and Elliptic Curves. / Chahal, Jasbir S.; Top, Jaap.
In: Rocky mountain journal of mathematics, Vol. 26, 1996, p. 937-949.Research output: Contribution to journal › Article › Academic › peer-review
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TY - JOUR
T1 - Triangular Numbers and Elliptic Curves
AU - Chahal, Jasbir S.
AU - Top, Jaap
N1 - Relation: https://www.rug.nl/fmns-research/bernoulli/index Rights: University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science
PY - 1996
Y1 - 1996
N2 - Some arithmetic of elliptic curves and theory of elliptic surfaces is used to find all rational solutions (r, s, t) in the function field Q(m, n) of the pair of equations r(r + 1)/2 = ms(s + 1)/2 r(r + 1)/2 = nt(t + 1)/2. It turns out that infinitely many solutions exist. Several examples will be given.
AB - Some arithmetic of elliptic curves and theory of elliptic surfaces is used to find all rational solutions (r, s, t) in the function field Q(m, n) of the pair of equations r(r + 1)/2 = ms(s + 1)/2 r(r + 1)/2 = nt(t + 1)/2. It turns out that infinitely many solutions exist. Several examples will be given.
M3 - Article
VL - 26
SP - 937
EP - 949
JO - Rocky mountain journal of mathematics
JF - Rocky mountain journal of mathematics
SN - 0035-7596
ER -
ID: 14480232