On binomial units of certain cubic field

Author:
Kiyota Ozeki

Journal:
Proc. Amer. Math. Soc. **98** (1986), 215-216

MSC:
Primary 11R16; Secondary 11R27

MathSciNet review:
854021

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Abstract: Scarowsky has conjectured about a binomial unit in a cubic field. We discuss a relation between binomial units and a diophantine equation.

**[1]**B. N. Delone and D. K. Faddeev,*The theory of irrationalities of the third degree*, Translations of Mathematical Monographs, Vol. 10, American Mathematical Society, Providence, R.I., 1964. MR**0160744****[2]**B. Gordon and S. P. Mohanty,*On a theorem of Delaunay and some related results*, Pacific J. Math.**68**(1977), no. 2, 399–409. MR**0463109****[3]**Manny Scarowsky,*On units of certain cubic fields and the Diophantine equation 𝑥³+𝑦³+𝑧³=3*, Proc. Amer. Math. Soc.**91**(1984), no. 3, 351–356. MR**744627**, 10.1090/S0002-9939-1984-0744627-7

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DOI:
http://dx.doi.org/10.1090/S0002-9939-1986-0854021-8

Article copyright:
© Copyright 1986
American Mathematical Society