Simone Sisneros-Thiry

collaborators

3 papers

math.NT2023

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…

math.CO2023

On integer partitions corresponding to numerical semigroups

Hannah E. Burson, Hayan Nam, Simone Sisneros-Thiry

Numerical semigroups are cofinite additive submonoids of the natural numbers. In 2011, Keith and Nath illustrated an injection from numerical semigroups to integer partitions. We e…

math.CO2019

Refined counting of core partitions into $d$ -distinct parts

Hannah E. Burson, Simone Sisneros-Thiry, Armin Straub

Using a combinatorial bijection with certain abaci diagrams, Nath and Sellers have enumerated $(s, m s \pm 1)$ -core partitions into distinct parts. We generalize their result in se…

Representations of integers as quotients of sums of distinct powers of three

On integer partitions corresponding to numerical semigroups

Refined counting of core partitions into d-distinct parts

Refined counting of core partitions into $d$ -distinct parts