Publikationstyp: Arbeits-/Diskussionspapier

Using Binary Factorizations to Connect Additive Systems and Fair Sacks of Dice

AutorInnen: Haller, Liam; Karzmer, Hannah; Maltenfort, Michael Publikationsjahr: 2020

Suppose we have polynomials or power series, none equal to 1, with a product that has coefficients of only 1 and such that each has coefficients of only 0 and 1. We define this to be a binary factorization, which we use to connect additive systems and fair sacks of dice, two seemingly unrelated mathematical topics. After establishing the relationship between these three topics, we get new results by translating known results about additive systems and fair sacks of dice.

Haller, Liam; Karzmer, Hannah; Maltenfort, Michael (2020): Using Binary Factorizations to Connect Additive Systems and Fair Sacks of Dice. Nor.