March 18, 2024Open Access

The error in the prime number theorem in short intervals

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Abstract

Using a new smoothing argument, we establish explicit versions of the prime number theorem in short intervals and consider the limiting behaviour of this result.

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Ethan Simpson Lee (Mon,) studied this question.

synapsesocial.com/papers/68e73a7cb6db6435876b3a90 https://doi.org/https://doi.org/10.48550/arxiv.2403.11814

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5Diophantine approximation with primes from short intervals2026

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