Huang–Jiang's nonnegativity conjecture for torus-link zeta functions
Huang–Jiang's nonnegativity conjecture for torus-link zeta functions
Let be the germ of the plane curve singularity , let denote the direct sum of copies of this singularity, and let and be the corresponding zeta functions. Regard these functions after replacing by as series in and . Huang–Jiang's nonnegativity conjecture. The zeta functions and , as series in and , have nonnegative coefficients.
This conjecture asserts coefficientwise nonnegativity for both the ordinary and motivic zeta functions in the even torus-link case. It is attributed in the source to Huang and Jiang's Conjecture 9.13; no resolution is given in the supplied material.
Sources & referencesView supporting material
Primary source
Shane Chern, “Multiple Rogers–Ramanujan type identities for torus links”, arXiv:2411.07198 (2024).
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