Irreducibility and Galois groups of truncated binomial polynomials

DOI10.1142/S1793042124500817MaRDI QIDQ6562937

Prabhakar Yadav, Shanta Laishram

Publication date: 27 June 2024

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

primesGalois groupsNewton polygonsvaluationssquaresirreducibilitytruncated binomial polynomials

Mathematics Subject Classification ID

Galois theory (11R32) Polynomials (irreducibility, etc.) (11R09)

Cites Work

• Title not available (Why is that?)
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• Some irreducibility results for truncated binomial expansions
• On the Galois group of generalized Laguerre polynomials
• Sur quelques cas d'irréductibilité des polynomes à coefficients rationnels.
• Some results for the irreducibility of truncated binomial expansions
• Some irreducibility and indecomposability results for truncated binomial polynomials of small degree
• On a problem of Störmer
• On the irreducibility of a truncated binomial expansion
• On the largest prime factor of $x^{2}-1$
• On the Galois group over $\mathbb Q$ of a truncated binomial expansion
• Baker's explicit abc-conjecture and applications
• Classes of polynomials having only one non-cyclotomic irreducible factor
• The equation n(n+d) ⋅⋅⋅(n+(k-1)d)=by²with ω(d)≤6 or d≤10¹⁰
• Galois groups of n 0 + n 1 X + ⋯ + n 6 X6

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