On the irreducibility of multivariate polynomials
Anuj Jakhar
TL;DR
This paper presents a criterion for determining the irreducibility of multivariate polynomials over henselian valued fields using valuation theory, advancing understanding in algebraic structures.
Contribution
It introduces a new irreducibility criterion specifically for multivariate polynomials over henselian valued fields, utilizing valuation theory.
Findings
Provides a valuation-theoretic irreducibility criterion
Applicable to polynomials over fields of arbitrary rank
Enhances algebraic tools for polynomial analysis
Abstract
Let (K, v) be a henselian valued field of arbitrary rank. In this paper, we give an irreducibility criterion for multivariate polynomials over K using valuation theory.
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
TopicsMeromorphic and Entire Functions · Polynomial and algebraic computation · Advanced Differential Equations and Dynamical Systems