Convergence Results for Systems of Linear Forms on Cyclic Groups and Periodic Nilsequences

DOI10.1137/130935677zbMath1298.11012arXiv1212.3681OpenAlexW2060393443MaRDI QIDQ3192164

Olof Sisask, Pablo Candela

Publication date: 26 September 2014

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.3681

zbMATH Keywords

higher-order Fourier analysislinear configurationsnilsequences

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25) Arithmetic combinatorics; higher degree uniformity (11B30)

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On several notions of complexity of polynomial progressions ⋮ Regularity and inverse theorems for uniformity norms on compact abelian groups and nilmanifolds ⋮ A continuous model for systems of complexity 2 on simple abelian groups ⋮ Limits of functions on groups ⋮ True complexity of polynomial progressions in finite fields

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