Frobenius numbers of Pythagorean triples-Reference-Cited by-同舟云学术

Frobenius numbers of Pythagorean triples

Published:2015-03 Issue:02 Volume:11 Page:613-619
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

Gil Byung Keon¹,Han Ji-Woo²,Kim Tae Hyun³,Koo Ryun Han⁴,Lee Bon Woo⁵,Lee Jaehoon⁶,Nam Kyeong Sik⁷,Park Hyeon Woo⁸,Park Poo-Sung⁹

Affiliation:

1. Naedong Middle School, Gimhae, South Korea

2. Gyeonggi Science High School for the Gifted, Suwon, South Korea

3. Dong Middle School, Changwon, South Korea

4. Ungnam Middle School, Changwon, South Korea

5. Daegu Science High School, Daegu, South Korea

6. Department of Mathematics, University of California, Los Angeles, USA

7. Department of Mathematical Sciences, Seoul National University, Seoul, South Korea

8. Daebang Middle School, Changwon, South Korea

9. Department of Mathematics Education, Kyungnam University, Changwon, South Korea

Abstract

Given relatively prime integers a1,…, an, the Frobenius number g(a1,…, an) is defined as the largest integer which cannot be expressed as x1a1 +⋯+ xnan with xi nonnegative integers. In this paper, we give the Frobenius number of primitive Pythagorean triples:

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042115500323

Reference8 articles.

1. On formulas for the Frobenius number of a numerical semigroup.

2. The frobenius number of some semigroups

3. Complexity of the Frobenius problem

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