On a factorization result of \c{S}tef\u{a}nescu -- II

TL;DR

This paper generalizes a known polynomial factorization result over discrete valuation domains, broadening its applicability and aiding the development of more versatile polynomial factorization algorithms.

Contribution

It extends Stefănescu's factorization theorem to a larger class of polynomials over discrete valuation domains, enhancing theoretical understanding.

Findings

Generalized the factorization theorem to more polynomials

Provided theoretical foundation for improved algorithms

Expanded applicability of polynomial factorization methods

Abstract

\c{S}tef\u{a}nescu proved an elegant factorization result for polynomials over discrete valuation domains [CASC'2014, Lecture Notes in Computer Science, Ed. by V. Gerdt, W. Koepf, W. Mayr, and E. Vorozhtsov, Springer, Berlin, {Vol. \textbf{8660}}, pp. 460--471, 2014.] In this paper, a generalization of \c{S}tef\u{a}nescu's result is proved to cover a larger class of polynomials over discrete valuation domains. Such results are useful in devising algorithms for polynomial factorization.