Displaying similar documents to “On ternary cubic forms.”

On the representation of numbers by quaternary and quinary cubic forms: I

C. Hooley (2016)

Acta Arithmetica

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On the assumption of a Riemann hypothesis for certain Hasse-Weil L-functions, it is shewn that a quaternary cubic form f(x) with rational integral coefficients and non-vanishing discriminant represents through integral vectors x almost all integers N having the (necessary) property that the equation f(x)=N is soluble in every p-adic field ℚₚ. The corresponding proposition for quinary forms is established unconditionally.

Note on autopolar plane cubics

Hari das Bagchi, Manindra Chandra Chaki (1952)

Rendiconti del Seminario Matematico della Università di Padova

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