On equal sums of ninth powers

Andrew Bremner; Jean Joël Delorme

doi:10.1090/S0025-5718-09-02288-1

On equal sums of ninth powers

Andrew Bremner, Jean Joël Delorme

Mathematical and Statistical Sciences, School of (SoMSS)

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we develop an elementary method to obtain infinitely many solutions of the Diophantine equation x⁹₁ + x⁹₂ + x⁹₃ + x⁹₄ + x⁹₅ + x⁹₆ = y₁⁹ + y₂⁹ + y⁹₃ + y⁹₄ + y⁹₅ + y⁹₆ and we give some numerical results.

Original language	English (US)
Pages (from-to)	603-612
Number of pages	10
Journal	Mathematics of Computation
Volume	79
Issue number	269
DOIs	https://doi.org/10.1090/S0025-5718-09-02288-1
State	Published - 2010

ASJC Scopus subject areas

Algebra and Number Theory
Computational Mathematics
Applied Mathematics

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10.1090/S0025-5718-09-02288-1

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title = "On equal sums of ninth powers",

abstract = "In this paper, we develop an elementary method to obtain infinitely many solutions of the Diophantine equation x91 + x92 + x93 + x94 + x95 + x96 = y19 + y29 + y93 + y94 + y95 + y96 and we give some numerical results.",

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AB - In this paper, we develop an elementary method to obtain infinitely many solutions of the Diophantine equation x91 + x92 + x93 + x94 + x95 + x96 = y19 + y29 + y93 + y94 + y95 + y96 and we give some numerical results.

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JO - Mathematics of Computation

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On equal sums of ninth powers

Abstract

ASJC Scopus subject areas

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