General power sums of integers that are,and are not,represented in the two-element Frobenius problem |
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| Authors: | N Gauthier |
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| Institution: | 1. Department of Physics , The Royal Military College of Canada , Station Forces, 17 000, Kingston, ON, K7K 7B4 Canada gauthier-n@rmc.ca |
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| Abstract: | 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. |
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| Keywords: | sums of powers linear forms two-element Frobenius problem generating functions |
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