Does Yun's algorithm work with polynomials which have integer coefficients and are not necessary monic?
Wikipedia says "polynomials over a field of characteristic 0" but this is what confuses me. I would say yes because I could add many ones and never reach zero but I thought integers form (are?) a ring, not a field.
Put differently, are those divisions in Yun's algorithm always realizable with plain integers? Are those division always "exact"?