On the constants in Mertens' theorems for primes in arithmetic progressions
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866913360085254144 |
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| author | Keliher, Daniel Lee, Ethan Simpson |
| author_facet | Keliher, Daniel Lee, Ethan Simpson |
| contents | A 1976 result from Norton may be used to give an asymptotic (but not explicit) description of the constant in Mertens' second theorem for primes in arithmetic progressions. Assuming the Generalized Riemann Hypothesis, we give an effective description of Norton's observation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_09981 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the constants in Mertens' theorems for primes in arithmetic progressions Keliher, Daniel Lee, Ethan Simpson Number Theory 11B25, 11N13, 11N37 A 1976 result from Norton may be used to give an asymptotic (but not explicit) description of the constant in Mertens' second theorem for primes in arithmetic progressions. Assuming the Generalized Riemann Hypothesis, we give an effective description of Norton's observation. |
| title | On the constants in Mertens' theorems for primes in arithmetic progressions |
| topic | Number Theory 11B25, 11N13, 11N37 |
| url | https://arxiv.org/abs/2306.09981 |