4 problems

Let $H_n(s)$ be the function defined from the discrete-torus spectral zeta function by the asymptotic expansion … where … Here $\zeta(\Delta,s)$ is the spectral zeta function of th…

The quantities $X^{(d)}_{m,h}(n;\mu)$ are defined by the explicit formula preceding these observations, for the parameters and partition $\mu$ used there. Integrality conjecture. I…

Let $f=(f_1,\ldots,f_m):\mathbb{Z}_k^n\to\mathbb{Z}_l^m$ be $\alpha$-Lipschitz with respect to the $L^1$ norm. Coordinatewise junta conjecture. For every $\delta,\epsilon>0$, at le…

Let $f:\mathbb{Z}_k^n\to\mathbb{Z}_l$ satisfy … Here $|\cdot|'$ is the source's normalized difference notation. Junta-size conjecture. The function $f$ is $\epsilon$-close to an…