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Almost universal ternary sums of triangular numbers
Author(s):
Wai Kiu
Chan;
Byeong-Kweon
Oh
Journal:
Proc. Amer. Math. Soc.
137
(2009),
3553-3562.
MSC (2000):
Primary 11E12, 11E20
Posted:
June 25, 2009
MathSciNet review:
2529860
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Abstract:
For any integer  , let  denote the triangular number  . In this paper we give a complete characterization of all the triples of positive integers  for which the ternary sums  represent all but finitely many positive integers, which resolves a conjecture of Kane and Sun.
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Additional Information:
Wai Kiu
Chan
Affiliation:
Department of Mathematics and Computer Science, Wesleyan University, Middletown, Connecticut 06459
Email:
wkchan@wesleyan.edu
Byeong-Kweon
Oh
Affiliation:
Department of Mathematical Sciences, Seoul National University, Seoul 151-747, Korea
Email:
bkoh@math.snu.ac.kr
DOI:
10.1090/S0002-9939-09-09990-0
PII:
S 0002-9939(09)09990-0
Received by editor(s):
August 28, 2008
Posted:
June 25, 2009
Additional Notes:
The work of the second author was supported by the Korea Research Foundation Grant (KRF-2008-314-C00004) funded by the Korean Government.
Communicated by:
Wen-Ching Winnie Li
Copyright of article:
Copyright
2009,
American Mathematical Society
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