Local to global principle for higher moments over function fields
Andy Hsiao, Junhong Ma Blackmer, Severin Schraven, Ying Qi Wen
TL;DR
This paper develops a local to global principle for higher moments in function fields and applies it to compute moments of matrices and polynomials with coefficients in holomorphy rings.
Contribution
It introduces a novel local to global principle for higher moments over holomorphy rings in function fields, enabling new computations.
Findings
Computed higher moments of rectangular unimodular matrices
Calculated higher moments of Eisenstein polynomials
Established a general local to global framework
Abstract
We establish a local to global principle for higher moments over holomorphy rings of global function fields and use it to compute the higher moments of rectangular unimodular matrices and Eisenstein polynomials with coefficients in such rings.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Advanced Topics in Algebra · Coding theory and cryptography