4 citations · 7 across the 5 of their papers we have counts for
5 papers
Well-Ordered Valuations on Rational Function Fields in Two Variables
Edward Mosteig
Gröbner bases have been generalized by replacing monomial orders with constructions such as valuations and filtrations. We consider suitable valuations on a rational valuation fiel…
Congruence classes of 2-adic valuations of Stirling numbers of the second kind
Curtis Bennett, Edward Mosteig
We analyze congruence classes of , the Stirling numbers of the second kind, modulo powers of 2. This analysis provides insight into a conjecture posed by Amdeberhan, Manna…
Value Monoids of Zero-Dimensional Valuations of Rank One
Edward Mosteig
Classically, Groebner bases are computed by first prescribing a set monomial order. Moss Sweedler suggested an alternative and developed a framework to perform such computations by…
Fixed Points of Maps on the Space of Rational Functions
Edward Mosteig
Given integers s,t, define a function phi_{s,t} on the space of all formal series expansions by phi_{s,t} (sum a_n x^n) = sum a_{sn+t} x^n. For each function phi_{s,t}, we determin…
A map on the space of rational functions
G. Boros, J. Little, V. Moll +2
We describe dynamical properties of a map defined on the space of rational functions. The fixed points of are classified and the long time behavior of…