General power sums of integers that are, and are not, represented in the two-element Frobenius problem

• Autores: N. Gauthier
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 39, Nº. 6, 2008, págs. 803-814
• Idioma: inglés
• DOI: 10.1080/00207390701871556
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• Resumen

  • A general method is presented for evaluating the sums of mth powers of the integers that can, and that cannot, be represented in the two-element Frobenius problem. Generating functions are introduced and used for that purpose. Explicit formulas for the desired sums are obtained and specific examples are discussed.