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Higher-order Fourier analysis of $\mathbb{F}_p^n$ and the complexity of systems of linear forms
Higher-order Fourier analysis linear forms
2010/11/20
Consider a subset $A$ of $\mathbb{F}_p^n$ and a decomposition of its indicator function as the sum of two bounded functions $1_A=f_1+f_2$. For every family of linear forms, we find the smallest degre...