Author

Joseph Slote

3 papers indexed here

We haven’t gathered this author’s papers yet. Follow them and we’ll fetch their work.

Not the right person? Other researchers publish under this name.

Preprint Sep 2026

An $m^{2.943}$ Bohnenblust--Hille Bound on the Boolean Cube

Let $q_m=2m/(m+1)$ and put \[ \beta_0=\frac{3}{2}+\frac{1}{\log 2}=2.9426950408\ldots, \] where $\log$ is the natural logarithm. We give a proof scheme showing that, for every $\varepsilon>0$, there is $C_\varepsilon<\infty$ such that every complex-valued function $f:\{-1,1\}^n\to\C$ of Fourier degree at most $m$ satis...

Joseph Slote, Chun-Kai Tseng, Alexander Volberg · 0 citations

Preprint Sep 2026

Polynomial Bohnenblust--Hille bounds for product of cyclic groups

Fix an integer $K\ge2$, and let $C_K^n =\{(e^{\frac{2\pi ij}{K}})_{j=0}^{K-1}\}^n$ be the product of cyclic groups of order $K$. For a Fourier character $\chi_\alpha$, let $s(\alpha)$ be the number of active coordinates. We give a self-contained proposed proof that the dimension-free Bohnenblust--Hille constants govern...

Joseph Slote, Alexander Volberg · 2 citations

Preprint Aug 2026

Unconditional Certified Randomness without Structure

We obtain a certified randomness protocol in the quantum random oracle model. The protocol is non-interactive and publicly verifiable with a classical verifier, and is based on Yamakawa and Zhandry's proof of quantumness [JACM'24]. We prove unconditional security of this protocol against adversaries making subexponenti...

A. Coladangelo, Dakshita Khurana, Saachi Mutreja et al. · 0 citations