Analogues of Artin’s conjecture
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- by Larry Joel Goldstein
- Trans. Amer. Math. Soc. 149 (1970), 431-442
- DOI: https://doi.org/10.1090/S0002-9947-1970-0279066-3
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Abstract:
Based on heuristic, a general conjecture is made, which contains Artin’s primitive root conjecture as a special case. Special cases of the general conjecture are verified using the generalized Siegel-Walfisz theorem. It is shown that the general conjecture can be considered as an infinite-dimensional analogue of the Tchebotarev density theorem.References
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Bibliographic Information
- © Copyright 1970 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 149 (1970), 431-442
- MSC: Primary 10.65
- DOI: https://doi.org/10.1090/S0002-9947-1970-0279066-3
- MathSciNet review: 0279066