The theory of irrationalities of the third degree

By B. Delone, D. Faddeev, E. Lehmer, S. Walker. 2009

198 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/140e42f9f5d721e7eb4bfbc9c298ef88009503af

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In Theoretical Computer Science

Citations in the corpus

On the Davenport–Heilbronn theorems and second order terms (2010, unknown): “, [3], [4], [6], [11], [17], [18], [27], [28]).”
Binary quartic forms having bounded invariants, and the boundedness of the average rank of elliptic curves (2010, background): “Since equivalence classes of irreducible integral binary cubic forms are in bijection with orders in cubic fields (see Delone–Faddeev’s work [20]), Theorem 1.”
The geometric sieve and the density of squarefree values of invariant polynomials (2014, methodology): “Building on the works of Levi [32], Wright–Yukie [42], and Gan–Gross–Savin [24], it was shown in [21], [2], and [3] that the integers that occur as the discriminants of orders in cubic, quartic, and quintic number fields, respectively, correspond to suitable integer values taken by certain fixed mul”
Parametrization of ideal classes in rings associated to binary forms (2010, background): “For n = 3, binary cubic forms parametrize cubic rings exactly ([8], [10]).”
Secondary terms in counting functions for cubic fields (2011, methodology): “The Davenport-Heilbronn and Delone-Faddeev correspondences.”
Fibrations in complete intersections of quadrics, Clifford algebras, derived categories, and rationality problems (2011, background): “In related developments, building on the work of Delone and Faddeev [32] over Z and Gross and”
Higher composition laws IV: The parametrization of quintic rings (2008, background): “Annals of Mathematics, 167 (2008), 53–94 Higher composition laws IV: The parametrization of quintic rings By Manjul Bhargava”