Pith. sign in

REVIEW

Zero Attractors of Partition Polynomials

Not yet reviewed by Pith; the record is open.

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2111.12226 v1 pith:WS662JCY submitted 2021-11-24 math.CO

classification math.CO
keywords partitionasymptoticsdilogarithmpolynomialsrootanalysisattractorsbehavior
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

A partition polynomial is a refinement of the partition number p(n) whose coefficients count some special partition statistic. Just as partition numbers have useful asymptotics so do partition polynomials. In fact, their asymptotics determine the limiting behavior of their zeros which form a network of curves inside the unit disk. An important new feature in their study requires a detailed analysis of. the \root dilogarithm" given as the real part of the square root of the usual dilogarithm.

Discussion (0). Continue with ORCID to comment.

Pith tools