PRIMES IN ARITHMETIC PROGRESSIONS

Authors
RAMARE O RUMELY R
Citation
O. Ramare et R. Rumely, PRIMES IN ARITHMETIC PROGRESSIONS, Mathematics of computation, 65(213), 1996, pp. 397-425
Citations number
13
Categorie Soggetti
Mathematics,Mathematics
Journal title
Mathematics of computation → ACNP
ISSN journal
00255718
Volume
65
Issue
213
Year of publication
1996
Pages
397 - 425
Database
ISI
SICI code
0025-5718(1996)65:213<397:PIAP>2.0.ZU;2-O
Abstract
Strengthening work of Rosser, Schoenfeld, and McCurley, we establish e xplicit Chebyshev-type estimates in the prime number theorem for arith metic progressions, for all moduli k less than or equal to 72 and othe r small moduli.