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

1 Scopus citations

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

Cite this

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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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doi = "10.1090/S0025-5718-09-02288-1",

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pages = "603--612",

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AU - Bremner, Andrew

AU - Delorme, Jean Joël

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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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UR - https://www.scopus.com/pages/publications/77952847020#tab=citedBy

U2 - 10.1090/S0025-5718-09-02288-1

DO - 10.1090/S0025-5718-09-02288-1

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VL - 79

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EP - 612

JO - Mathematics of Computation

JF - Mathematics of Computation

IS - 269

ER -

On equal sums of ninth powers

Abstract

ASJC Scopus subject areas

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