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- W2205156029 abstract "Recently the authors [12] showed that the algebraic integers of the form $${-m+zeta_k}$$ are bases of a canonical number system of $${mathbb {Z}[{zeta_k]}}$$ provided $${m geqq phi(k)+1}$$ , where $${zeta_k}$$ denotes a k-th primitive root of unity and $${phi}$$ is Euler’s totient function. In this paper we are interested in the questions whether two bases $${-m+zeta_k}$$ and $${-n+zeta_k}$$ are multiplicatively independent. We show the multiplicative independence in case that 0 < |m−n| < 106 and |m|, |n| > 1." @default.
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- W2205156029 date "2015-05-08" @default.
- W2205156029 modified "2023-10-09" @default.
- W2205156029 title "On multiplicatively independent bases in cyclotomic number fields" @default.
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- W2205156029 doi "https://doi.org/10.1007/s10474-015-0500-2" @default.
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