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

• Autorzy: C. Hooley
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 11D72: Equations in many variables

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2016
• Tom: 173
• Numer: 1
• Strony: 19-39

Daty

wydano

2016

Twórcy

autor

C. Hooley

• School of Mathematics, Cardiff University, Senghennydd Road, Cardiff CF24 4AG, United Kingdom

Identyfikatory

DOI

10.4064/aa8189-1-2016