Uniform distribution of primes having a prescribed primitive root

• Autorzy: Pieter Moree
• Języki publikacji: EN

Kategorie tematyczne

• 11N69: Distribution of integers in special residue classes
• 11A07: Congruences; primitive roots; residue systems
• 11R45: Density theorems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1999
• Tom: 89
• Numer: 1
• Strony: 9-21

Daty

wydano

1999

otrzymano

1997-04-07

poprawiono

1998-12-03

Twórcy

autor

Pieter Moree

• Max-Planck-Institut für Mathematik, Gottfried-Claren-Straße 26, 53225 Bonn, Germany

Bibliografia

• [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.
• [3] E. T. Jacobson and W. Y. Vélez, The Galois group of a radical extension of the rationals, Manuscripta Math. 67 (1990), 271-284.
• [4] L H. W. Lenstra, Jr., On Artin's conjecture and Euclid's algorithm in global fields, Invent. Math. 42 (1977), 201-224.
• [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.
• [7] N W. Narkiewicz, Uniform Distribution of Sequences of Integers in Residue Classes, Lecture Notes in Math. 1087, Springer, 1984.
• [8] A. Reznikov and P. Moree, Three-manifold subgroup growth, homology of coverings and simplicial volume, Asian J. Math. 1 (1997), 764-768.
• [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.
• [10] W E. Weiss, Algebraic Number Theory, New York Univ. Press, New York, 1963.