The explicit Gibbs-Appell equation and generalized inverse forms
نویسندگان
چکیده
منابع مشابه
The Explicit Gibbs-appell Equation and Generalized Inverse Forms
This paper develops an extended form of the Gibbs-Appell equation and shows that it is equivalent to the generalized inverse equation of motion. Both equations are shown to follow from Gauss's principle. An example to highlight the two equivalent, though different, equations of motion is provided. Conceptual differences between the equations, and differences in their practical application to ph...
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If F (x, y) ∈ Z[x, y] is an irreducible binary form of degree k ≥ 3 then a theorem of Darmon and Granville implies that the generalized superelliptic equation F (x, y) = z has, given an integer l ≥ max{2, 7 − k}, at most finitely many solutions in coprime integers x, y and z. In this paper, for large classes of forms of degree k = 3, 4, 6 and 12 (including, heuristically, “most” cubic forms), w...
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ژورنال
عنوان ژورنال: Quarterly of Applied Mathematics
سال: 1998
ISSN: 0033-569X,1552-4485
DOI: 10.1090/qam/1622570