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Title: On the density of some special primes
Related: Journal of mathematical cryptology, Vol. 3, No. 3, (2009), p.265-271
DOI: 10.1515/JMC.2009.016
Publisher: Walter de Gruyter
Date: 2009
FoR/RFCD Code(s): 080400 Data Format 010200 Applied Mathematics
Author/Creator: Friedlander, John B
Author/Creator: Shparlinski, Igor E
Description: We show, under the Generalized Riemann Hypothesis, that a certain set of primes which is of importance for the theory of pseudorandom sequences is of positive relative density. We also use an unconditional result of H. Mikawa, which in turn is based on the results of E. Bombieri, J. B. Friedlander and H. Iwaniec on primes in arithmetic progressions, which go beyond the range of the Generalized Riemann Hypothesis.
Description: 7 page(s)
Subject Keyword: 080400 Data Format
Subject Keyword: 010200 Applied Mathematics
Subject Keyword: Pseudorandom numbers
Subject Keyword: Artin's conjecture
Subject Keyword: primes in arithmetic progressions
Resource Type: journal article
Organisation: Macquarie University. Dept. of Computing

Identifier: http://hdl.handle.net/1959.14/132977
Identifier: ISSN:1862-2976
Identifier: mq-rm-2009006262
Language: eng
Rights: Copyright 2009 by de Gruyter. Article originally published in Journal of Mathematical Cryptology, Volume 3, Issue 3, Pages 265–271. The original article can be found at http://dx.doi.org/10.1515/JMC.2009.016. Version archived for private and non-commercial use with the permission of the author/s and according to publisher conditions. For further rights please contact the publisher.
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