Artin's Conjecture and systems of diagonal equations

Trevor D. Wooley

doi:10.1515/forum-2013-0109

Artin's Conjecture and systems of diagonal equations

Trevor D. Wooley

Research output: Contribution to journal › Article (Academic Journal) › peer-review

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Abstract

We show that Artin's conjecture concerning p-adic solubility of Diophantine equations fails for infinitely many systems of r homogeneous diagonal equations whenever r≥1.

Original language	English
Pages (from-to)	2259-2265
Number of pages	7
Journal	Forum Mathematicum
Volume	27
Issue number	4
DOIs	https://doi.org/10.1515/forum-2013-0109
Publication status	Published - Jul 2015

Keywords

math.NT
11D88
11D72
11E76

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2013 artindiagAccepted author manuscript, 261 KB

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title = "Artin's Conjecture and systems of diagonal equations",

abstract = "We show that Artin's conjecture concerning p-adic solubility of Diophantine equations fails for infinitely many systems of r homogeneous diagonal equations whenever r≥1.",

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author = "Wooley, {Trevor D.}",

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AB - We show that Artin's conjecture concerning p-adic solubility of Diophantine equations fails for infinitely many systems of r homogeneous diagonal equations whenever r≥1.

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KW - 11D72

KW - 11E76

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DO - 10.1515/forum-2013-0109

M3 - Article (Academic Journal)

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VL - 27

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EP - 2265

JO - Forum Mathematicum

JF - Forum Mathematicum

IS - 4

ER -

Artin's Conjecture and systems of diagonal equations

Abstract

Keywords

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