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Vinogradov's theorem for primes with restricted digits

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arxiv 2409.06894 v3 pith:L3H2IH4I submitted 2024-09-10 math.NT

James Leng , Mehtaab Sawhney This is my paper · ORCID
classification math.NT
keywords largemathcalsufficientlybasedigitdigitsequalevery
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abstract

Let $g$ be sufficiently large, $b\in\{0,\ldots,g-1\}$, and $\mathcal{S}_b$ be the set of integers with no digit equal to $b$ in their base $g$ expansion. We prove that every sufficiently large odd integer $N$ can be written as $p_1 + p_2 + p_3$ where $p_i$ are prime and $p_i\in \mathcal{S}_b$.

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Cited by 1 Pith paper

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  1. Pointwise Convergence of Ergodic Averages Along Integer Cantor Sets

    math.DS 2026-07 accept novelty 7.0 of 10

    Ergodic averages along integer Cantor sets converge almost everywhere for L^p functions, p≥2.

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