On equal sums of fifth powers (Q1386792)
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scientific article; zbMATH DE number 1157061
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On equal sums of fifth powers |
scientific article; zbMATH DE number 1157061 |
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On equal sums of fifth powers (English)
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21 September 1998
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Several parametric solutions of the diophantine equation \[ X_1^5+ X_2^5+ X_3^5= Y_1^5+ Y_2^5+ Y_3^5 \] are known. The complete solution is, however, yet to be found. In this paper, a number of new two- and three-paramter solutions of this diophantine equation are obtained and it is shown that several families of new parametric solutions may be obtained using known solutions.
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equal sums of fifth powers
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quintic diophantine equations in many variables
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parametric solutions
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