… We show new upper and lower bounds for the effective differential Nullstellensatz for differential
fields of characteristic zero with several commuting derivations. Seidenberg was the first …

… sequences of radical differential ideals appearing in our differential elimination in Section 5
(… Finally, we apply this to obtain the bound for the differential Nullstellensatz in Theorem 15, …

… The present paper deals with effective aspects of the ordinary differential Nullstellensatz
over the field C of complex numbers or, more generally, over arbitrary fields of constants of …

… for the differential Nullstellensatz in the case of ordinary systems of differential algebraic …
Let x be a set of n differential variables, fa finite family of differential polynomials in the ring K…

… by comparison with sparse differential resultants. Finally, we provide the effective
differential-difference Nullstellensatz and effective elimination for algebraic differential-difference …

… The origin of the results we announce here was the desire to obtain estimates similar to
the Effective Nullstellensatz (2) for factorial rings A equipped with a size (in the sense of [Ph1]) …

… The elimination theory indicated above applies, with straightforward modifications, also
to differential algebra of characteristic 0. The details for the differential algebra, along with …

… By Hilbert's Nullstellensatz, taking g = 1 in the above is … The effective Nullstellensatz gives
degree upper bounds on … of Hilbert's Nullstellensatz and the Effective Nullstellensatz. We also …

… Combinatorial Nullstellensatz: … Nullstellensatz. There are important works which we do not
discuss, for example, the Tropical Nullstellensatz and the Nullstellensatz for partial differential …