Abstract Let $V$ be a finite-dimensional vector space over $\mathbb{F}_p$ . We say that multilinear form $\alpha \colon V^k \to \mathbb{F}_p$ in $k$ variables is $d$ - approximately symmetric if the partition rank of difference (x_1, \ldots, x_k) \alpha (x_{\pi (1)}, x_{\pi (k)})$ at most for every permutation $\pi \in \textrm{Sym}_k$ In work concerning inverse theorem Gowers uniformity $\|\!\c...

Abstract Existing integer-valued generalised autoregressive conditional heteroskedasticity (INGARCH) models for spatio-temporal counts do not allow negative parameter and autocorrelation values. Using approximately linear INGARCH models, the unified flexible (B)INGARCH framework modelling unbounded (bounded) is proposed. These combine dependencies with kinds of a long memory. They are easily ad...