Abstract
We determine the Lind–Lehmer constant for the cyclic group \(\mathbb{Z}_{n}\) when n is not a multiple of 892,371,480=23⋅3⋅5⋅7⋅11⋅13⋅17⋅19⋅23.
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DeSilva, D., Pinner, C.G.: The Lind–Lehmer constant for \(\mathbb{Z}_{p}^{n}\). Proc. Amer. Math. Soc. To appear
Kaiblinger, N.: On the Lehmer constant of finite cyclic groups. Acta Arith. 142, 79–84 (2010)
Kaiblinger, N.: Progress on Olga Taussky–Todd’s circulant problem. Ramanujan J. 28(1), 45–60 (2012)
Lind, D.: Lehmer’s problem for compact Abelian groups. Proc. Amer. Math. Soc. 133, 1411–1416 (2005)
Newman, M.: On a problem suggested by Olga Taussky-Todd. Illinois J. Math. 24(1), 156–158 (1980)
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Pigno, V., Pinner, C. The Lind–Lehmer Constant for cyclic groups of order less than 892,371,480. Ramanujan J 33, 295–300 (2014). https://doi.org/10.1007/s11139-012-9443-1
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DOI: https://doi.org/10.1007/s11139-012-9443-1