Kostra, J. On sums of two units. (English) Zbl 0829.11057 Abh. Math. Semin. Univ. Hamb. 64, 11-14 (1994). Let \(K\) be a normal tamely ramified algebraic number field of degree \(n\) over the rationals \(\mathbb{Q}\), and let \((p)\) be a prime ideal of the rational integers. The author shows that any nonzero element of \((p)\) is not a sum of two units from the \(p\)-th cyclotomic field. Reviewer: T.Lepistö (Tampere) Cited in 1 Document MSC: 11R27 Units and factorization 11R18 Cyclotomic extensions Keywords:prime ideal; sum of two units; cyclotomic field × Cite Format Result Cite Review PDF Full Text: DOI References: [1] M. Newman, Diophantine Equations In Cyclotomic Fields, J. reine angew. Math.265 (1974), 84–89. · Zbl 0275.12008 · doi:10.1515/crll.1974.265.84 [2] M. Newman, Consecutive Units, PAMS, V108, No 2 (1990), 303–306. · Zbl 0701.11055 · doi:10.1090/S0002-9939-1990-0994782-1 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.