Units in arithmetic progression in an algebraic number field
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- by Morris Newman PDF
- Proc. Amer. Math. Soc. 43 (1974), 266-268 Request permission
Abstract:
It is shown that a given algebraic number field of degree $n \geqq 4$ over the rationals can contain at most $n$ units in arithmetic progression, and that this bound is sharp.References
- Morris Newman, Units in cyclotomic number fields, J. Reine Angew. Math. 250 (1971), 3–11. MR 288098, DOI 10.1515/crll.1971.250.3
- Morris Newman, Diophantine equations in cyclotomic fields, J. Reine Angew. Math. 265 (1974), 84–89. MR 337889, DOI 10.1515/crll.1974.265.84
- G. Pólya and G. Szegö, Aufgaben und Lehrsätze aus der Analysis, Dover Publications, New York, N.Y., 1945 (German). MR 0015435
Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 43 (1974), 266-268
- MSC: Primary 12A45
- DOI: https://doi.org/10.1090/S0002-9939-1974-0330101-2
- MathSciNet review: 0330101