[PDF][PDF] A study of some recent irreducibility criteria for polynomials having integer coefficients
S Kumar, J Singh - arXiv preprint arXiv:2310.02860, 2023 - arxiv.org
arXiv:2310.02860v1 [math.NT] 4 Oct 2023 Page 1 arXiv:2310.02860v1 [math.NT] 4 Oct 2023 A
STUDY OF SOME RECENT IRREDUCIBILITY CRITERIA FOR POLYNOMIALS HAVING …
STUDY OF SOME RECENT IRREDUCIBILITY CRITERIA FOR POLYNOMIALS HAVING …
Development of pipelined polynomial multiplier modulo irreducible polynomials for cryptosystems
S Tynymbayev, M Ibraimov… - … -European Journal of …, 2022 - papers.ssrn.com
In this paper, we consider a schematic solution of the pipeline multiplier modulo, where
multiplication begins with the analysis of the lowest order of the polynomial multiplier, which …
multiplication begins with the analysis of the lowest order of the polynomial multiplier, which …
Some factorization results on polynomials having integer coefficients
J Singh, R Garg - Communications in Algebra, 2024 - Taylor & Francis
In this article, we prove some factorization results for several classes of polynomials having
integer coefficients, which in particular yield several classes of irreducible polynomials. Such …
integer coefficients, which in particular yield several classes of irreducible polynomials. Such …
On two conjectures of irreducible polynomials
W Zhang, P Yuan - Communications in Algebra, 2023 - Taylor & Francis
In this paper, we give a new proof using Newton polygons for an irreducibility criterion
established by Singh and Kumar. Then we prove a conjecture of Koley and Reddy. In …
established by Singh and Kumar. Then we prove a conjecture of Koley and Reddy. In …
Irreducibility via location of zeros
J Singh, S Kumar - arXiv preprint arXiv:2309.08502, 2023 - arxiv.org
In this paper, we obtain several new classes of irreducible polynomials having integer
coefficients whose zeros lie inside an open disk around the origin or outside a closed …
coefficients whose zeros lie inside an open disk around the origin or outside a closed …
Some factorization results for formal power series with integer coefficients
R Garg, J Singh - arXiv preprint arXiv:2501.05375, 2025 - arxiv.org
In this paper, we obtain some factorization results on formal power series having integer
coefficients with sharp bounds on number of irreducible factors. These factorization results …
coefficients with sharp bounds on number of irreducible factors. These factorization results …
A note on Girstmair's irreducibility criterion
J Singh, S Kumar - Bulletin of the Australian Mathematical Society, 2022 - cambridge.org
A NOTE ON GIRSTMAIR’S IRREDUCIBILITY CRITERION Page 1 Bull. Aust. Math. Soc. 106
(2022), 62–66 doi:10.1017/S0004972721000861 A NOTE ON GIRSTMAIR’S IRREDUCIBILITY …
(2022), 62–66 doi:10.1017/S0004972721000861 A NOTE ON GIRSTMAIR’S IRREDUCIBILITY …
Irreducibility criteria for pairs of polynomials whose resultant is a prime number
NC Bonciocat - arXiv preprint arXiv:2311.18568, 2023 - arxiv.org
We use some classical estimates for polynomial roots to provide several irreducibility criteria
for pairs of polynomials with integer coefficients whose resultant is a prime number, and for …
for pairs of polynomials with integer coefficients whose resultant is a prime number, and for …
[引用][C] A Criterion for the Reducibility of a Class of Integer Polynomials over the Field of Rational Numbers
Z Shizhong, FU Hongguang, QIN XiaoLin, LIU Jing… - Journal of Systems Science and …