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In mathematics, a nilsequence is a type of numerical sequence playing a role in ergodic theory and additive combinatorics. The concept is related to nilpotent
Nilsequence
Class of norms in additive combinatorics
d − 1 or other object with polynomial behaviour (e.g. a (d − 1)-step nilsequence). The precise statement depends on the Gowers norm under consideration
Gowers_norm
British mathematician (born 1977)
relates Gowers norms with objects known as nilsequences. The theory derives its name from these nilsequences, which play an analogous role to the role
Ben_Green_(mathematician)
Theorem about prime numbers
Tao, Terence (2012). "The Möbius function is strongly orthogonal to nilsequences". Annals of Mathematics. 175 (2): 541–566. arXiv:0807.1736. doi:10.4007/annals
Green–Tao_theorem
Israeli mathematician
higher-order Fourier analysis, which connects the Gowers norms with nilsequences, and is a powerful tool for analyzing arithmetic structures in sets of
Tamar_Ziegler
On the existence of arithmetic progressions in subsets of the natural numbers
Vitaly; Host, Bernard; Kra, Bryna (2005). "Multiple recurrence and nilsequences. With an appendix by Imre Ruzsa". Inventiones Mathematicae. 160 (2):
Roth's theorem on arithmetic progressions
Roth's_theorem_on_arithmetic_progressions
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The absolver of the universe
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