We exploit an analogue of Artin's primitive root conjecture for one-dimensional tori over Q. Let 1r be a one-dimensional torus over Q, and let P E T(Q) be a nontorsion point . Under Generalized Riemann Hypothesis, we derive an explicit density formula for the set of rational primes l such that P modulo l generates T(Fe).
2000年國際數學與統計研討會暨第34屆中華民國數學會年會：慶祝淡江大學創校五十週年校慶 (2000 international conference on mathematics and statistics and 34th annual meeting of mathematical society of R.O.C. : commemorating the 50th anniversary of Tamkang University), pp.11