Frobenius numbers of Pythagorean triples

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Given relatively prime integers a(1) ,..., a(n), the Frobenius number g(a(1) ,..., a(n)) is defined as the largest integer which cannot be expressed as x(1)a(1)+ . . . + x(n)a(n) with x(i) nonnegative integers. In this paper, we give the Frobenius number of primitive Pythagorean triples: g(m(2) - n(2), 2mn, m(2) + n(2)) - (m - 1)(m(2) - n(2)) + (m - 1)(2mn) - (m(2) + n(2))
Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
Issue Date
2015-03
Language
English
Article Type
Article
Citation

INTERNATIONAL JOURNAL OF NUMBER THEORY, v.11, no.2, pp.613 - 619

ISSN
1793-0421
DOI
10.1142/S1793042115500323
URI
http://hdl.handle.net/10203/287560
Appears in Collection
MA-Journal Papers(저널논문)
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