Ben Krause

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math.NT2026

Quantitative bounds for sets lacking polynomial progressions with shifted prime difference

Ben Krause, Hamed Mousavi, Terence Tao +1

We prove quantitative polynomial Szemerédi-type theorems involving polynomial progressions with shift parameter restricted to the set of shifted primes $P - 1$ . The types of…

math.NT2026

Cross representations of additive complements of $r$ -th powers

Yuchen Ding, Ben Krause, Csaba SÃ¡ndor +2

Let $N$ be the set of natural numbers and $S_{r} = {1^{r}, 2^{r}, 3^{r}, \dots}$ the set of $r$ -th powers, where $r \geq 2$ is a natural number. Let $\mathcal{W}_r…

Quantitative bounds for sets lacking polynomial progressions with shifted prime difference

Cross representations of additive complements of r-th powers

Cross representations of additive complements of $r$ -th powers