Author

K. Rogers

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Preprint Sep 2026

Estimates for $L^p$ variants of Gowers norms

Motivated by a log-convexity question of Bennett and Tao, we consider Gowers-type functionals defined by $L^p$ norms of multiple autocorrelations. We prove sharp bounds in terms of $L^q$ norms and characterise the near-extremisers on Euclidean spaces as well as locally compact abelian groups. We also establish two fami...

Vjekoslav Kovač, K. Rogers · 1 citation · ⚡1