The paper introduces a probabilistic sign rule for quotients of positive series and integral transforms that reduces monotonicity, log-supermodularity, and log-convexity to kernel sign criteria via moment identities, and applies it to derive new inequalities for hypergeometric, Stieltjes, and Prabha
Title resolution pending
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.CA 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
The paper establishes non-trivial dimensional thresholds for volume vectors determined by hypergraphs of simplices via a Jacobian method leveraging distance results and a refinement for planar triangles, improving prior bounds.
citing papers explorer
-
A Probabilistic Sign Rule for Quotients of Positive Series and Integral Transforms
The paper introduces a probabilistic sign rule for quotients of positive series and integral transforms that reduces monotonicity, log-supermodularity, and log-convexity to kernel sign criteria via moment identities, and applies it to derive new inequalities for hypergeometric, Stieltjes, and Prabha
-
On volume vectors determined by hypergraphs in thin subsets of Euclidean space
The paper establishes non-trivial dimensional thresholds for volume vectors determined by hypergraphs of simplices via a Jacobian method leveraging distance results and a refinement for planar triangles, improving prior bounds.