Inequalities for full rank differences of 2-marked Durfee symbols

Details Inequalities for full rank differences of 2-marked Durfee symbols Inequalities for full rank differences of 2-marked Durfee symbols

2011-02-09

arxiv.org/abs/1102.1814v2

Mathematics

Number Theory

21 pages

Scientific paper

In this paper, we obtain infinitely many non-trivial identities and inequalities between full rank differences for 2-marked Durfee symbols, a generalization of partitions introduced by Andrews. A certain strict inequality, which almost always holds, shows that identities for Dyson's rank, similar to those proven by Atkin and Swinnerton-Dyer, are quite rare. By showing an analogous strict inequality, we show that such non-trivial identities are also rare for the full rank, but on the other hand we obtain an infinite family of non-trivial identities, contrasting the partition theoretic case.

Affiliated with

Also associated with

No associations

Rating

Inequalities for full rank differences of 2-marked Durfee symbols does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Inequalities for full rank differences of 2-marked Durfee symbols, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Inequalities for full rank differences of 2-marked Durfee symbols will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-649993