Primes in arithmetic progressions
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- by Olivier Ramaré and Robert Rumely PDF
- Math. Comp. 65 (1996), 397-425 Request permission
Abstract:
Strengthening work of Rosser, Schoenfeld, and McCurley, we establish explicit Chebyshev-type estimates in the prime number theorem for arithmetic progressions, for all moduli $k \le 72$ and other small moduli.References
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Additional Information
- Olivier Ramaré
- Affiliation: Département de Mathématiques, Université de Nancy I, URA 750, 54506 Van-doeuvre Cedex, France
- MR Author ID: 360330
- Robert Rumely
- Affiliation: addressDepartment of Mathematics, University of Georgia, Athens, Georgia 30602
- Received by editor(s): February 26, 1993
- Received by editor(s) in revised form: January 24, 1994, June 27, 1994, and January 10, 1995
- © Copyright 1996 American Mathematical Society
- Journal: Math. Comp. 65 (1996), 397-425
- MSC (1991): Primary 11N13, 11N56, 11M26; Secondary 11Y35, 11Y40, 11--04
- DOI: https://doi.org/10.1090/S0025-5718-96-00669-2
- MathSciNet review: 1320898