Back to matchesWe found a matchYour institution may have access to this item. Find your institution then sign in to continue.TitleArtin's conjecture and systems of diagonal equations.AuthorsWooley, Trevor D.AbstractWe show that Artin's conjecture concerning p-adic solubility of Diophantine equations fails for infinitely many systems of r homogeneous diagonal equations whenever r ≥ 2.SubjectsARTIN'S conjecture; DIOPHANTINE equations; HOMOGENEOUS spaces; INFINITY (Mathematics); MATHEMATICAL analysisPublicationForum Mathematicum, 2015, Vol 27, Issue 4, p2259ISSN0933-7741Publication typeArticleDOI10.1515/forum-2013-0109