Analogues of Artin’s conjecture
Analogues of Artin’s conjecture
Based on heuristic, a general conjecture is made, which contains Artinâs 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.