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P-adic root separation for quadratic and cubic polynomials

Tomislav Pejković ; Department of Mathematics, University of Zagreb, Bijenička cesta 30, 10000 Zagreb, Croatia

Sažetak

We study p-adic root separation for quadratic and cubic polynomials with integer coefficients. The quadratic and reducible cubic polynomials are completely understood, while in the irreducible cubic case and p ≠ 2, we give a family of polynomials with the bound which is the best currently known.

Ključne riječi

Integer polynomials; root separation; p-adic numbers

Hrčak ID:

165781

URI

https://hrcak.srce.hr/165781

Datum izdavanja:

15.9.2016.

Posjeta: 1.476 *