James Leng

collaborators

2 papers

math.DS2025

Structured extensions and multi-correlation sequences

James Leng

We show that every multi-correlation sequence is the sum of a generalized nilsequence and a null-sequence. This proves a conjecture of N. Frantzikinakis. A key ingredient is the re…

math.NT2024

Vinogradov's theorem for primes with restricted digits

James Leng, Mehtaab Sawhney

Let $g$ be sufficiently large, $b \in {0, \dots, g - 1}$ , and $S_{b}$ be the set of integers with no digit equal to $b$ in their base $g$ expansion. We prove that every suffic…