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Roth's theorem in
$\mathbb{Z}_4^n$
Tom Sanders |
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Vol. 2 (2009), No. 2, 211–234
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Abstract |
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We show that if contains no three-term arithmetic progressions in which all the elements are distinct then . |
Keywords
Roth–Meshulam, cap set problem, Fourier, Freĭman,
Balog–Szemerédi, characteristic 2, $\mathbb Z_4^n$,
three-term arithmetic progressions
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Mathematical Subject Classification 2000
Primary: 42A05
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Milestones
Received: 14 November 2008
Revised: 30 March 2009
Accepted: 4 May 2009
Published: 1 May 2009
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Authors |
| Tom Sanders | |
| Department of Pure Mathematics and
Mathematical Statistics University of Cambridge Cambridge, CB3 0WA United Kingdom |
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| http://www.dpmms.cam.ac.uk/~tws22/ | |
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