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Jamneshan, A; Tao, T (, Discrete Analysis)We state and prove a quantitative inverse theorem for the Gowers uniformity norm U3(G) on an arbitrary finite abelian group G; the cases when G was of odd order or a vector space over F2 had previously been established by Green and the second author and by Samorodnitsky respectively by Fourier-analytic methods, which we also employ here. We also prove a qualitative version of this inverse theorem using a structure theorem of Host--Kra type for ergodic Zω-actions of order 2 on probability spaces established recently by Shalom and the authors.more » « less
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Kosch, Tiffany A; Torres-Sánchez, María; Liedtke, H Christoph; Summers, Kyle; Yun, Maximina H; Crawford, Andrew J; Maddock, Simon T; Ahammed, Md Sabbir; Araújo, Victor_L N; Bertola, Lorenzo V; et al (, BMC Genomics)
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