On the Class of Dominant and Subordinate Products
AbstractIn this paper we provide proofs of two new theorems that provide a broad class of partition inequalities and that illustrate a na¨ıve version of Andrews’ anti-telescoping technique quite well. These new theorems also put to rest any notion that including parts of size 1 is somehow necessary in order to have a valid irreducible partition inequality. In addition, we prove (as a lemma to one of the theorems) a rather nontrivial class of rational functions of three variables has entirely nonnegative power series coefficients. View Full-Text
Scifeed alert for new publicationsNever miss any articles matching your research from any publisher
- Get alerts for new papers matching your research
- Find out the new papers from selected authors
- Updated daily for 49'000+ journals and 6000+ publishers
- Define your Scifeed now
Berkovich, A.; Grizzell, K. On the Class of Dominant and Subordinate Products. Mathematics 2013, 1, 65-75.
Berkovich A, Grizzell K. On the Class of Dominant and Subordinate Products. Mathematics. 2013; 1(2):65-75.Chicago/Turabian Style
Berkovich, Alexander; Grizzell, Keith. 2013. "On the Class of Dominant and Subordinate Products." Mathematics 1, no. 2: 65-75.