SU\G(𝔸)/K·U

Some Remarks on Artin's Conjecture

M. Ram Murty, Srimeenakshi Srinivasan

Type: Article

Publication Date: 1987-03-01

Citations: 25

DOI: https://doi.org/10.4153/cmb-1987-012-5

Abstract

Abstract It is a classical conjecture of E. Artin that any integer a > 1 which is not a perfect square generates the co-prime residue classes (mod ρ) for infinitely many primes ρ. Let E be the set of a > 1, a not a perfect square, for which Artin's conjecture is false. Set E(x) = card( e ∊ E: e ≤ x ). We prove that E(x) = 0(log 6 x) and that the number of prime numbers in E is at most 6.

Locations

  • Canadian Mathematical Bulletin - View - PDF

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Works Cited by This (3)

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+ Sieve Methods 1983 H. Halberstam
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