Solvability of cubic equations in \(p\)-adic integers \((p>3)\)

DOI10.1134/S0037446613030154zbMath1294.11205MaRDI QIDQ359379

Bakhrom A. Omirov, M. Kh. Saburov, K. K. Masutova, Farrukh Mukhamedov

Publication date: 12 August 2013

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

algorithmsolutioncubic equationp-adic number

Mathematics Subject Classification ID

Cubic and quartic Diophantine equations (11D25) Polynomials (11S05) (p)-adic and power series fields (11D88)

Related Items (11)

The description of generalized translation-invariant \(p\)-adic Gibbs measures for the Potts model on the Cayley tree of order three ⋮ -adic monomial equations and their perturbations ⋮ Trinomial equations of degree 6 over \(\mathbb{Q}_p \) ⋮ The \(p\)-adic Potts model on the Cayley tree of order three ⋮ Phase transitions forp-adic Potts model on the Cayley tree of order three ⋮ Phase transition for thep-adic Ising–Vannimenus model on the Cayley tree ⋮ Local descriptions of roots of cubic equations over \(p\)-adic fields ⋮ On equation \(x^q=a\) over \(\mathbb Q_p\) ⋮ Periodic \(p\)-adic Gibbs measures of \(q\)-state Potts model on Cayley trees. I: The chaos implies the vastness of the set of \(p\)-adic Gibbs measures ⋮ On \(P\)-adic \(\lambda\)-model on the Cayley tree. II: Phase transitions ⋮ On descriptions of all translation invariant \(p\)-adic Gibbs measures for the Potts model on the Cayley tree of order three

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