1 citations · 1 across the 3 of their papers we have counts for
4 papers
A horizontal-strip LLT polynomial is determined by its weighted graph
Foster Tom
We prove that two horizontal-strip LLT polynomials are equal if the associated weighted graphs defined by the author in a previous paper are isomorphic. This provides a sufficient…
A combinatorial Schur expansion of triangle-free horizontal-strip LLT polynomials
Foster Tom
In recent years, Alexandersson and others proved combinatorial formulas for the Schur function expansion of the horizontal-strip LLT polynomial in some special cases. We…
Classifying the near-equality of ribbon Schur functions
Foster Tom
We consider the problem of determining when the difference of two ribbon Schur functions is a single Schur function. We fully classify the five infinite families of pairs of ribbon…
The number of rational points of hyperelliptic curves over subsets of finite fields
Kristina Nelson, Jozsef Solymosi, Foster Tom +1
We prove two related concentration inequalities concerning the number of rational points of hyperelliptic curves over subsets of a finite field. In particular, we investigate the p…