The Mathieu conjecture for $SU(2)$ reduced to an abelian conjecture
Michael M\"uger, Lars Tuset
TL;DR
This paper simplifies the Mathieu conjecture for the group SU(2) by transforming it into a conjecture involving moments of Laurent polynomials with polynomial coefficients, potentially making it easier to analyze.
Contribution
It introduces a reduction of the Mathieu conjecture for SU(2) to an abelian conjecture involving Laurent polynomials and moments.
Findings
Reduction of the Mathieu conjecture to a conjecture on Laurent polynomial moments
Establishment of a new approach to analyze the Mathieu conjecture for SU(2)
Potential pathway for proving or disproving the original conjecture
Abstract
We reduce the Mathieu conjecture for to a conjecture about moments of Laurent polynomials in two variables with single variable polynomial coefficients.
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Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems · Nonlinear Waves and Solitons · Geometry and complex manifolds