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Mathematics of Computation

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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

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