Debry, C., Perucca, A.: Reductions of algebraic integers. J. Number Theory 167, 259–283 (2016) DOI: 10.1016/j.jnt.2016.03.001
Erdös, P., Murty, M.R.: On the order of a (mod p). In: CRM Proceedings and Lecture Notes vol. 19, pp. 87–97. American Mathematical Society, Rhode Island (1999)
Heath-Brown, D.R.: Artin’s conjecture for primitive roots. Q. J. Math. 37(1), 27–38 (1986) DOI: 10.1093/qmath/37.1.27
Hindry, M.: Diophantine Geometry. Number 201. Graduate Texts in Mathematics, Springer, New York (2000) DOI: 10.1007/978-1-4612-1210-2
Hooley, C.: On Artin’s conjecture. J. Reine Angew. Math. 225, 209–220 (1967)
Hörmann, F., Perucca, A., Sgobba, P., Tronto, S.: Explicit Kummer generators for cyclotomic extensions. JP J. Algebra Number Theory Appl. 53(1), 69–84 (2022)
Järviniemi, O.: Equality of orders of a set of integers modulo a prime. Proc. Am. Math. Soc. 149(09), 3651–3668 (2021) DOI: 10.1090/proc/15498
Lagarias, J.C., Odlyzko, A.M.: Effective versions of the Chebotarev density theorem. In: Algebraic Number Fields: L-Functions and Galois Properties (Proceedings of the Symposium, University of Durham, Durham, 1975), pp. 409–464. Academic (1977)
Lenstra, H.W., Jr.: On Artin’s conjecture and Euclid’s algorithm in global fields. Invent. Math. 42, 201–224 (1977) DOI: 10.1007/BF01389788
Matthews, K.: A generalisation of Artin’s conjecture for primitive roots. Acta Arith. 29(2), 113–146 (1976) DOI: 10.4064/aa-29-2-113-146
Moree, P., Stevenhagen, P.: A two-variable Artin conjecture. J. Number Theory 85(2), 291–304 (2000) DOI: 10.1006/jnth.2000.2547
Murty, M.R., Séguin, F., Stewart, C.L.: A lower bound for the two-variable Artin conjecture and prime divisors of recurrence sequences. J. Number Theory 194, 8–29 (2019) DOI: 10.1016/j.jnt.2018.06.017
Pappalardi, F.: On the r -rank Artin conjecture. Math. Comput. 66(218), 853–868 (1997) DOI: 10.1090/S0025-5718-97-00805-3
Perucca, A., Sgobba, P.: Kummer theory for number fields and the reductions of algebraic numbers. Int. J. Number Theory 15(8), 1617–1633 (2019) DOI: 10.1142/S179304211950091X
Perucca, A., Sgobba, P., Tronto, S.: Explicit Kummer theory for the rational numbers. Int. J. Number Theory 16(10), 2213–2231 (2020) DOI: 10.1142/S1793042120501146
Perucca, A., Sgobba, P., Tronto, S.: The degree of Kummer extensions of number fields. Int. J. Number Theory 17(5), 1091–1110 (2021) DOI: 10.1142/S1793042121500263
Schinzel, A.: Abelian binomials, power residues and exponential congruences. Acta Arith. 32(3), 245–274 (1977) DOI: 10.4064/aa-32-3-245-274
Serre, J.-P.: Quelques applications du théorème de densité de Chebotarev. Inst. Hautes Études Sci. Publ. Math. 54, 323–401 (1981) DOI: 10.1007/BF02698692
Wagstaff, S.: Pseudoprimes and a generalization of Artin’s conjecture. Acta Arith. 2(41), 141–150 (1982) DOI: 10.4064/aa-41-2-141-150
Wójcik, J.: On a problem in algebraic number theory. Math. Proc. Camb. Philos. Soc. 119(2), 191–200 (1996) DOI: 10.1017/S0305004100074090
