Orthogonality of non-pretentious functions to polynomials over Function Fields

2025/09/16 by Tal Meilin, Meilin, Tal
Mathematics · #Mathematical Approximation and Integration #Mathematical functions and polynomials #Algebraic and Geometric Analysis

paper · pdf · doi:10.48550/arxiv.2509.12755

Abstract

We prove that non-pretentious multiplicative functions are orthogonal to polynomials over \mF_q[x] (up to characteristic conditions).

Citations

• Polynomial bound for partition rank in terms of analytic rank
• Polynomial functions as splines
• Higher order Fourier analysis of multiplicative functions and applications
• The inverse conjecture for the Gowers norm over finite fields in low characteristic

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