Delone, B. N.; Faddeev, D. K. The theory of irrationalities of the third degree. Translated from the Russian by Emma Lehmer and Sue Ann Walker. (English) Zbl 0133.30202 Translations of Mathematical Monographs. 10. Providence, R.I.: American Mathematical Society (AMS). xvi, 509 pp. (1964). See trhe review of the Russian original (1940) in Zbl 0061.09001. Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 8 ReviewsCited in 85 Documents MSC: 11-02 Research exposition (monographs, survey articles) pertaining to number theory 11R16 Cubic and quartic extensions 11R27 Units and factorization 11R29 Class numbers, class groups, discriminants 11Rxx Algebraic number theory: global fields Keywords:algebraic number theory; novel interpretation of algebraic numbers; cubic fields; quartic fields; Voronoi algorithm; units in cubic fields; Thue-Siegel theorem; representations of integers by binary cubic forms; Weil’s proof of Mordell’s finite basis theorem for curves of genus 1; tables Citations:Zbl 0061.09001 PDF BibTeX XML OpenURL Online Encyclopedia of Integer Sequences: Positive cubefree integers n such that the Diophantine equation X^3 + Y^3 = n*Z^3 has solutions.