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Irreducibility of extensions of Laguerre polynomials

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Publication:782783
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DOI10.7169/facm/1748OpenAlexW2986803117MaRDI QIDQ782783

Tarlok N. Shorey, Shanta Laishram, Saranya G. Nair

Publication date: 29 July 2020

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.01072

zbMATH Keywords

primesNewton polygonsLaguerre polynomialsirreducibility


Mathematics Subject Classification ID

Polynomials in number theory (11C08) Primes in congruence classes (11N13) Polynomials (irreducibility, etc.) (11R09)




Cites Work

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  • Solving exponential diophantine equations using lattice basis reduction algorithms
  • Extensions of Schur's irreducibility results
  • On the Galois group of generalized Laguerre polynomials
  • Irreducibility of generalized Laguerre polynomials \(L_n^{(\frac{1}{2} + u)}(x)\) with integer \(u\)
  • The irreducibility of all but finitely many Bessel polynomials
  • On a problem of Störmer
  • Errata to “On the largest prime factor of $x^2-1$”
  • On the largest prime factor of $x^{2}-1$
  • Calculations for Bertrand's Postulate
  • Number theory. Transl. from the 3rd German edition, edited and with a preface by Horst Günter Zimmer.
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