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ExactpAdics: An exact representation of p-adic numbers
Christopher Doris
We describe two new packages ExactpAdics and ExactpAdicsII for the Magma computer algebra system for working with p-adic numbers exactly, in the sense that numbers are represented…
math.NT2018
On enumerating extensions of p-adic fields with given invariants
Christopher Doris
We give a brief re-exposition of the theory due to Pauli and Sinclair of ramification polygons of Eisenstein polynomials over p-adic fields, their associated residual polynomials a…