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This is a Quantitative Study study.

October 19, 2025Open Access

Primes in Arithmetic Progressions to Large Moduli and Siegel Zeroes

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The asymptotic behavior relates primes and Dirichlet characters under specific conditions.
For any large modulus q, the prime-counting function behaves regularly for almost all a co-prime to q.
The work builds on previous results that posed limits on q under conjectural assumptions.
The findings hold significant importance for understanding prime distributions under the lens of siegel zeroes.

Authors

TWThomas WrightWofford College

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Implication

The study examines the distribution of primes in arithmetic progressions for large moduli, indicating implications for Dirichlet characters and siegel zeroes.

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Thomas Wright (2025) studied this question.

synapsesocial.com/papers/68f4b10d3d9d770bbc696df6 https://doi.org/10.48550/arxiv.2507.10780

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Implication

The study examines the distribution of primes in arithmetic progressions for large moduli, indicating implications for Dirichlet characters and siegel zeroes.

Primes in Arithmetic Progressions to Large Moduli and Siegel Zeroes

Key Points

Discussion

Implication

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Primes in Arithmetic Progressions to Large Moduli and Siegel Zeroes

Key Points

Discussion

Implication

Cite This Study

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