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Artin's Conjecture and systems of diagonal equations

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Author(s): Trevor D. Wooley

Publication date Created: 04 July 2013

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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.

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Most cited references 6

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Homogeneous Additive Equations

H. Davenport, D LEWIS (1963)

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On zeros of $p$-adic forms

D. H LEWIS, Hugh L. Montgomery, Hugh Montgomery … (1983)

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On p-adic zeros of forms

W.Dale Brownawell (1984)

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Author and article information

Journal

Publication date Created: 04 July 2013

Article

ArXiV ID: 1307.1396

SO-VID: 9ff1aa9c-7e82-4a47-af36-ba2ed6962bac

License:

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

History

Custom metadata

ACM classes 11D88, 11D72, 11E76

Categories math.NT

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