Formulae of the Frobenius number in relatively prime three Lucas numbers

Ratchanok Bokaew; Boonrod Yuttanan; Sukrawan Mavecha

doi:10.14456/sjst-psu.2020.140

Songklanakarin Journal of Science and Technology (SJST) (Oct 2020)

Formulae of the Frobenius number in relatively prime three Lucas numbers

Ratchanok Bokaew,
Boonrod Yuttanan,
Sukrawan Mavecha

Affiliations

Ratchanok Bokaew: Department of Mathematics, Faculty of Science, King Mongkut's Institute of Technology Ladkrabang, Lat Krabang, Bangkok, 10520 Thailand
Boonrod Yuttanan: Department of Mathematics and Statistics, Faculty of Science, Prince of Songkla University, Hat Yai, Songkhla, 90112 Thailand
Sukrawan Mavecha: Department of Mathematics, Faculty of Science, King Mongkut's Institute of Technology Ladkrabang, Lat Krabang, Bangkok, 10520 Thailand

DOI: https://doi.org/10.14456/sjst-psu.2020.140
Journal volume & issue: Vol. 42, no. 5
pp. 1077 – 1083

Abstract

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In this paper, we find the explicit formulae of the Frobenius number for numerical semigroups generated by relatively prime three Lucas numbers 2 , L L i i and Lil  for given integers i ≥ 3, l ≥ 4 .

Published in Songklanakarin Journal of Science and Technology (SJST)

ISSN: 0125-3395 (Print)
Publisher: Prince of Songkla University
Country of publisher: Thailand
LCC subjects: Technology: Technology (General); Science: Science (General)
Website: https://sjst.psu.ac.th/

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