An Eight-Term Counterexample to the Special Image Conjecture in Three Pairs

An explicit eight-term counterexample to the Special Image Conjecture in three contraction pairs. For f=tau^3(t+z)(w t^3-v y(t+y)^2) and g=z, the paper proves E(f^m)=0 and [t]E(g f^m)=(3m+1)!m! for every m>=1. Thus the minimum possible failure dimension is two or three.

Keywords

Mathieu subspace, Gaussian moments, image conjecture, special image conjecture, polynomial contraction

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	0
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average

Found an issue? Give us feedback

0

Average

Upload OA version

Are you the author of this publication? Upload your Open Access version to Zenodo!

It’s fast and easy, just two clicks!

uploadUpload now