@techreport{RISC5735,author = {S. McCallum and F. Winkler},
title = {{Resultants: Algebraic and Differential}},
language = {english},
abstract = {This report summarises ongoing discussions of the authors on the topic of differential resultants
which have three goals in mind. First, we aim to try to understand existing literature on the
topic. Second, we wish to formulate some interesting questions and research goals based on our
understanding of the literature. Third, we would like to advance the subject in one or more
directions, by pursuing some of these questions and research goals. Both authors have somewhat
more background in nondifferential, as distinct from differential, computational algebra. For this
reason, our approach to learning about differential resultants has started with a careful review of
the corresponding theory of resultants in the purely algebraic (polynomial) case. We try, as far
as possible, to adapt and extend our knowledge of purely algebraic resultants to the differential
case. Overall, we have the hope of helping to clarify, unify and further develop the computational
theory of differential resultants.},
number = {18-08},
year = {2018},
month = {August},
length = {21},
type = {RISC Report Series},
institution = {Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz},
address = {Altenberger Straße 69, 4040 Linz, Austria},
issn = {2791-4267 (online)}
}