# Uniform distribution of primes having a prescribed primitive root

Acta Arithmetica (1999)

- Volume: 89, Issue: 1, page 9-21
- ISSN: 0065-1036

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top## How to cite

topPieter Moree. "Uniform distribution of primes having a prescribed primitive root." Acta Arithmetica 89.1 (1999): 9-21. <http://eudml.org/doc/207260>.

@article{PieterMoree1999,

author = {Pieter Moree},

journal = {Acta Arithmetica},

keywords = {primitive root; weak uniform distribution; Artin's conjecture},

language = {eng},

number = {1},

pages = {9-21},

title = {Uniform distribution of primes having a prescribed primitive root},

url = {http://eudml.org/doc/207260},

volume = {89},

year = {1999},

}

TY - JOUR

AU - Pieter Moree

TI - Uniform distribution of primes having a prescribed primitive root

JO - Acta Arithmetica

PY - 1999

VL - 89

IS - 1

SP - 9

EP - 21

LA - eng

KW - primitive root; weak uniform distribution; Artin's conjecture

UR - http://eudml.org/doc/207260

ER -

## References

top- [1] R. Heath-Brown, A remark on Artin's conjecture, Quart. J. Math. Oxford Ser. (2) 37 (1986), 27-38.
- [2] H C. Hooley, Artin's conjecture for primitive roots, J. Reine Angew. Math. 225 (1967), 209-220. Zbl0221.10048
- [3] E. T. Jacobson and W. Y. Vélez, The Galois group of a radical extension of the rationals, Manuscripta Math. 67 (1990), 271-284. Zbl0717.12002
- [4] L H. W. Lenstra, Jr., On Artin's conjecture and Euclid's algorithm in global fields, Invent. Math. 42 (1977), 201-224. Zbl0362.12012
- [5] L H. W. Lenstra, Perfect arithmetic codes, Sém. Delange-Pisot-Poitou, 19e année 1978/79, Théorie des nombres, Fasc. 1, Exp. 15, 14 pp.
- [6] M P. Moree, On a conjecture of Rodier on primitive roots, Abh. Math. Sem. Univ. Hamburg 67 (1997), 165-171. Zbl0888.11035
- [7] N W. Narkiewicz, Uniform Distribution of Sequences of Integers in Residue Classes, Lecture Notes in Math. 1087, Springer, 1984. Zbl0541.10001
- [8] A. Reznikov and P. Moree, Three-manifold subgroup growth, homology of coverings and simplicial volume, Asian J. Math. 1 (1997), 764-768. Zbl0913.20017
- [9] R F. Rodier, Estimation asymptotique de la distance minimale du dual des codes BCH et polynômes de Dickson, Discrete Math. 149 (1996), 205-221. Zbl0846.94020
- [10] W E. Weiss, Algebraic Number Theory, New York Univ. Press, New York, 1963. Zbl0115.03601

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