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Correlations of Eigenvalues on¶Multi-Dimensional Flat Tori

✍ Scribed by Jeffrey M. VanderKam

Book ID
105904864
Publisher
Springer
Year
2000
Tongue
English
Weight
163 KB
Volume
210
Category
Article
ISSN
0010-3616

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✍ Yen-Mei J Chen 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 131 KB

We exploit an analogue of Artin's primitive roots conjecture for one-dimensional tori over Q. Let T be a one-dimensional torus over Q, and let P ¥ T(Q) be a nontorsion point. Under Generalized Riemann Hypothesis, we derive an explicit density formula for the set of rational primes a such that P modu