On Primes in Arithmetic Progression Having a Prescribed Primitive Root

Journal of Number Theory

Volumn 78, Issue 1, 1999, Pages 85-98

  Moree, Pieter ^a  

^a LEIDEN UNIVERSITY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002371890     PISSN: 0022314X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jnth.1999.2409     Document Type: Article

References (13)

1. Cobeli C., Zaharescu A. On the distribution of primitive roots mod p. Acta Arith. 83:1998;143-153.
2. Davenport H. On primitive roots in finite fields. Quart. J. Math. 8:1937;308-312.
3. Elliott P. D. T. A. The distribution of primitive roots. Canad. J. Math. 21:1969;822-841.
4. Goldfeld M. Artin's conjecture on the average. Mathematika. 15:1968;223-226.
5. Hooley C. Artin's conjecture for primitive roots. J. Reine Angew. Math. 225:1967;209-220.
6. E. Jensen, and, M. Ram Murty, Artin's conjecture for polynomials over finite fields, preprint. [See, http://www.mast.queensu.ca/murty .].
7. Landau E. Vorlesungen über Zahlentheorie. 1927;S. Hirzel Verlag, Leipzig.
8. Lenstra H. W. On Artin's conjecture and Euclid's algorithm in global fields. Invent. Math. 42:1977;201-224.
9. P. Moree, On some sums connected with primitive roots, MPI-preprint 42, Bonn, 1998. [See, http://www.mpim-bonn.mpg.de/html/preprints/preprints.html .].
10. P. Moree, On the density of primes in arithmetic progression having a prescribed primitive root, MPI-preprint 57, Bonn, 1998. [See, http://www.mpim-bonn.mpg.de/html/preprints/preprints.html .].
11. Pappalardi F., Shparlinski I. On Artin's conjecture over function fields. Finite Fields Appl. 1:1995;399-404.
12. Stephens P. J. An average result for Artin's conjecture. Mathematika. 16:1969;178-188.
13. Warlimont R. On Artin's conjecture. J. London Math. Soc. 5:1972;91-94.