Trinomial coefficients and related matrices over finite fields
Yue-Feng She, Hai-Liang Wu
TL;DR
This paper explores the arithmetic properties of determinants involving reciprocals of binary quadratic forms over finite fields, utilizing trinomial coefficients to analyze these mathematical structures.
Contribution
It introduces a novel approach using trinomial coefficients to study determinants related to quadratic forms over finite fields, revealing new arithmetic properties.
Findings
Identified new relationships between trinomial coefficients and determinants over finite fields
Established properties of determinants involving reciprocals of quadratic forms
Provided insights into the structure of related matrices over finite fields
Abstract
In this paper, with the help of trinomial coefficients we study some arithmetic properties of certain determiants involving reciprocals of binary quadratic forms over finite fields.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsCoding theory and cryptography · Graph Labeling and Dimension Problems · Analytic Number Theory Research