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math.NT — Number Theory

Hilbert-type inequality with primes

Contributed by Kannan Soundararajan

This note answers a problem posed in Montgomery's CBMS book. The proof was found by ChatGPT 6, and written up by the author.

Primarily human-written textHuman understanding: all partsCollar-Stein LemmaHilbert's inequalitySieves

Sep 28, 2026PDF ↗View work →

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Text Primarily human-written A mix of human-written and AI-generated Primarily AI-generated

Human understanding All parts of this contribution have been checked and understood by a human. Some parts of this contribution, but not all, have been checked and understood by a human. None of this contribution has been checked and understood by any human.

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