3 citations · 6 across the 3 of their papers we have counts for
4 papers
Waring's Problem for Polynomial Rings and the Digit Sum of Exponents
Seth Dutter, Cole Love
Let be an algebraically closed field of characteristic . In this paper we develop methods to represent arbitrary elements of as sums of perfect -th powers for an…
Reversals of Least-Squares Estimates and Model-Independent Estimation for Directions of Unique Effects
Brian Knaeble, Seth Dutter
When a linear model is adjusted to control for additional explanatory variables the sign of a fitted coefficient may reverse. Here these reversals are studied using coefficients of…
Gaps in Taylor series of algebraic functions
Seth Dutter
Let be a rational function on an algebraic curve over the complex numbers. For a point and local parameter we can consider the Taylor series for in the variable …
Logarithmic Jet Spaces and Intersection Multiplicities
Seth Dutter
The theory of relative logarithmic jet spaces is developed for log schemes. With this theory the existence of bounds of intersection multiplicities of curves and divisors on certai…