Cubic homogeneous polynomials over \(\mathfrak p\)-adic number fields

DOI10.2307/1969655zbMath0048.02602OpenAlexW2335581847MaRDI QIDQ2650275

D. J. Lewis

Publication date: 1952

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1969655

zbMATH Keywords

solvabilitypolynomialsnon-archimedean valued field

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Non-Archimedean valued fields (12J25) Polynomials (11S05)

Related Items (23)

The Hilbert-Kamke problem in analytic number theory ⋮ Zeros of \(p\)-adic forms ⋮ Rational lines on cubic hypersurfaces ⋮ Inhomogeneous additive equations ⋮ Cubic hypersurfaces and a version of the circle method for number fields ⋮ Faster \(p\)-adic feasibility for certain multivariate sparse polynomials ⋮ BEYOND ARTIN'S CONJECTURE FOR CUBIC FORMS ⋮ On cubic polynomials. III: Systems of p-adic equations ⋮ On cubic polynomials. IV: Systems of rational equations ⋮ Some theorems and conjectures in diophantine equations ⋮ The Artin conjecture for three diagonal cubic forms ⋮ $p$-adic zeros of quintic forms ⋮ Rational equivalence on cubic hypersurfaces of bad reduction ⋮ Pairs of additive forms of odd degrees ⋮ Analytic methods in the theory of systems of Diophantine equations and inequalities with a large number of unknowns ⋮ Unnamed Item ⋮ \(u\)-invariants for forms of higher degree ⋮ On Artin’s conjecture: Linear slices of diagonal hypersurfaces ⋮ More exact values of the function \(\Gamma^\ast (k)\) ⋮ The Hasse principle for diagonal forms restricted to lower-degree hypersurfaces ⋮ Dimension arithmétique d'un corps ⋮ Systems of homogeneous equations ⋮ Linear spaces on the intersection of cubic hypersurfaces

This page was built for publication: Cubic homogeneous polynomials over \(\mathfrak p\)-adic number fields