C. Ambrose Artin’s primitive root conjecture and a problem of Rohrlich Math. Proc. Cambridge Philos. Soc. 2014 157 1 79 99 3211809 10.1017/S0305004114000206
K. Chinen L. Murata On a distribution property of the residual order of a(modp), I, II J. Number Theory 2004 105 60 81 2032442 10.1016/j.jnt.2003.06.005
A.T. Felix Higher rank generalizations of Fomenko’s conjecture J. Number Theory 2013 133 5 1738 1751 3007129 10.1016/j.jnt.2012.09.008
A.T. Felix The index of a modulo p, SCHOLAR-a scientific celebration highlighting open lines of arithmetic research Contemp. Math. 2015 655 83 96 10.1090/conm/655/13228
A.T. Felix M.R. Murty A problem of Fomenko’s related to Artin’s conjecture Int. J. Number Theory 2012 8 7 1687 1723 2968946 10.1142/S1793042112500984
R. Gupta M.R. Murty A remark on Artin’s conjecture Invent. Math. 1984 78 127 130 762358 10.1007/BF01388719
D.R. Heath-Brown Artin’s conjecture for primitive roots Quart. J. Math. Oxford Ser. 1986 37 27 38 830627 10.1093/qmath/37.1.27
C. Hooley On Artin’s conjecture J. Reine Angew. Math. 1967 225 209 220 207630
O. Järviniemi A. Perucca Unified treatment of Artin-type problems Res. Number Theory 2023 9 10 10 4524411 10.1007/s40993-022-00418-6
E. Landau Über die zahlentheoretische Function φ(n) und ihre Beziehung zum Goldbachschen Satz, Göttinger Nachrichten, 177–186 Collected Works 1900 I 106 115
P. Moree On the average number of elements in a finite field with order or index in a prescribed residue class Finite Fields Appl. 2004 10 3 438 463 2067608 10.1016/j.ffa.2003.10.001
P. Moree On the distribution of the order and index of g(modp) over residue classes - I J. Number Theory 2005 114 2 238 271 2167970 10.1016/j.jnt.2004.09.004
P. Moree On the distribution of the order and index of g(modp) over residue classes - II J. Number Theory 2006 117 2 330 354 2213769 10.1016/j.jnt.2005.06.006
P. Moree On primes p for which d divides ordp(g) Funct. Approx. Comment. Math. 2005 33 85 95 2274151 10.7169/facm/1538186603
P. Moree On the distribution of the order over residue classes Electron. Res. Announc. Am. Math. Soc. 2006 12 121 128 2263073 10.1090/S1079-6762-06-00168-5
P. Moree M. Sha Primes in arithmetic progressions and nonprimitive roots Bull. Aust. Math. Soc. 2019 100 3 388 394 4028186 10.1017/S0004972719000443
F. Pappalardi On Hooley’s theorem with weights Rend. Sem. Mat. Univ. Pol. Torino 1995 53 4 375 388 1452393
F. Pappalardi On the r-rank Artin conjecture Math. Comp. 1997 66 218 853 868 1377664 10.1090/S0025-5718-97-00805-3
A. Perucca P. Sgobba Kummer theory for number fields and the reductions of algebraic numbers Int. J. Number Theory 2019 15 08 1617 1633 3994150 10.1142/S179304211950091X
A. Perucca P. Sgobba Kummer theory for number fields and the reductions of algebraic numbers II Uniform Distrib. Theory 2020 15 1 75 92 4221191 10.2478/udt-2020-0004
A. Perucca P. Sgobba S. Tronto The degree of Kummer extensions of number fields Int. J. Number Theory 2021 17 5 1091 1110 4270875 10.1142/S1793042121500263
K. Wiertelak On the density of some sets of primes - IV Acta Arith. 1984 43 2 177 190 736730 10.4064/aa-43-2-177-190
K. Wiertelak On the density of some sets of primes p, for which n|ordp(a) Funct. Approx. Comment. Math. 2000 28 237 241 1824009 10.7169/facm/1538186700
V. Ziegler On the distribution of the order of number field elements modulo prime ideals Uniform Distrib. Theory 2006 1 1 65 85 2314267