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Starichkova, A note on zero-density approaches for the difference between consecutive primes

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Refinements for primes in short arithmetic progressions

math.NT · 2025-07-21 · unverdicted · novelty 6.0

Under the Generalized Density Hypothesis, the prime number theorem holds in shorter intervals than the classic bounds for arithmetic progressions with moduli up to log powers of x.

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  • Refinements for primes in short arithmetic progressions math.NT · 2025-07-21 · unverdicted · none · ref 17

    Under the Generalized Density Hypothesis, the prime number theorem holds in shorter intervals than the classic bounds for arithmetic progressions with moduli up to log powers of x.