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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Primes in arithmetic progressions


Authors: Olivier Ramaré and Robert Rumely
Journal: Math. Comp. 65 (1996), 397-425
MSC (1991): Primary 11N13, 11N56, 11M26; Secondary 11Y35, 11Y40, 11--04
MathSciNet review: 1320898
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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.


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Additional Information

Olivier Ramaré
Affiliation: Département de Mathématiques, Université de Nancy I, URA 750, 54506 Van-doeuvre Cedex, France

Robert Rumely
Affiliation: addressDepartment of Mathematics, University of Georgia, Athens, Georgia 30602

DOI: http://dx.doi.org/10.1090/S0025-5718-96-00669-2
PII: S 0025-5718(96)00669-2
Received by editor(s): February 26, 1993
Received by editor(s) in revised form: January 24, 1994, June 27, 1994, and January 10, 1995
Article copyright: © Copyright 1996 American Mathematical Society