The author demonstrates a minorant function for the prime indicator function in arithmetic progressions, suggesting enhancements to prior results.
The author prove that there exists a function ρ(n) which is a minorant for the prime indicator function 1ₚ(n) and has distribution level 65/123 in arithmetic progressions to smooth moduli. This refines the previous results of Baker--Irving and Stadlmann.
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Runbo Li (2025) studied this question.
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