most citedFaster p-adic Feasibility for Certain Multivariate Sparse Polynomials

2 citations · 2 across the 2 of their papers we have counts for

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2 papers

math.AG2011

Multivariate ultrametric root counting

Martin Avendano, Ashraf Ibrahim

Let be a field, complete with respect to a discrete non-archimedian valuation and let be the residue field. Consider a system of polynomial equations in $K\vars$. O…

math.NT2010★ 2 cited

Faster p-adic Feasibility for Certain Multivariate Sparse Polynomials

Martín Avendaño, Ashraf Ibrahim, J. Maurice Rojas +1

We present algorithms revealing new families of polynomials allowing sub-exponential detection of p-adic rational roots, relative to the sparse encoding. For instance, we show that…