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An Inverse Theorem for the Uniformity Seminorms Associated with the Action of

An Inverse Theorem for the Uniformity Seminorms Associated with the Action of,10.1007/s00039-010-0051-1,Vitaly Bergelson,Terence Tao,Tamar Ziegler

An Inverse Theorem for the Uniformity Seminorms Associated with the Action of   (Citations: 4)
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Published in 2010.
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    • ...[TZ2], [BTZ]. We combine this result with some abstract arguments in order to prove that a bounded function can be expressed as a sum of polynomial phases and a part that is small in the appropriate uniformity norm...
    • ...we shall state formally in the next section, has been proved by Bergelson, Tao and Ziegler [BTZ], [TZ2]...
    • ...However, even after these examples it was reasonable to believe that the conjecture was true whenever the characteristic p was sufficiently large, and this was eventually proved by Bergelson, Tao and Ziegler [BTZ], [TZ2]...

    W. T. Gowerset al. Linear Forms and Higher-Degree Uniformity for Functions On

    • ...Lovett et al. [4] and Green and Tao [3] disproved this conjecture as stated, but a modication of the conjecture remains open, and was recently proven in high characteristic [9], [10]...

    Arnab Bhattacharyyaet al. Optimal Testing of Reed-Muller Codes

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