Fermat's polygonal number theorem for repeated generalized polygonal numbers
نویسندگان
چکیده
منابع مشابه
Polygonal Numbers
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For m = 3, 4, . . . , the polygonal numbers of order m are given by pm(n) = (m−2) ` n 2 ́ +n (n = 0, 1, 2, . . . ). For positive integers a, b, c and i, j, k > 3 with max{i, j, k} > 5, we call the triple (api, bpj , cpk) universal if for any n = 0, 1, 2, . . . there are nonnegative integers x, y, z such that n = api(x)+bpj(y)+cpk(z). We show that there are only 95 candidates for universal triple...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2021
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2020.05.024