42 citations · 129 across the 20 of their papers we have counts for
23 papers
Representations of integers as quotients of sums of distinct powers of three
Katie Anders, Madeline Locus Dawsey, Bruce Reznick +1
Which integers can be written as a quotient of sums of distinct powers of three? We outline our first steps toward an answer to this question, beginning with a necessary and almost…
Equal sums of two cubes of binary quadratic forms
Bruce Reznick
We give a complete description of all solutions to the equation for quadratic forms and show how Ramanujan's example can be…
A note on mediated simplices
Victoria Powers, Bruce Reznick
Many homogeneous polynomials that arise in the study of sums of squares and Hilbert's 17th problem come from monomial substitutions into the arithmetic-geometric inequality. In 198…
Linearly dependent powers of binary quadratic forms
Bruce Reznick
Given an integer , what is the least so that there is a set of binary quadratic forms for which is non-trivially linearly dependent? We…
Sparse Versions of the Cayley-Bacharach Theorem
Laura Felicia Matusevich, Bruce Reznick
We give combinatorial generalizations of the Cayley-Bacharach theorem and induced map.
Cantor set arithmetic
Jayadev S. Athreya, Bruce Reznick, Jeremy T. Tyson
Every element of can be written in the form , where are elements of the Cantor set . In particular, every real number between zero and one is the produ…