Squares in blocks from an arithmetic progression and Galois group of Laguerre polynomials

DOI10.1142/S1793042115500141zbMath1390.11072OpenAlexW2052920919MaRDI QIDQ2941081

N. Saradha, Tarlok N. Shorey

Publication date: 21 January 2015

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

Full work available at URL: https://doi.org/10.1142/s1793042115500141

zbMATH Keywords

Galois groupgreatest prime factorsquares in arithmetic progressionirreducibility of orthogonal polynomials

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61)

Related Items (3)

The Diophantine equation f(x)=g(y)$f(x)=g(y)$ for polynomials with simple rational roots ⋮ On Galois groups of a one-parameter orthogonal family of polynomials ⋮ More variants of Erdős-Selfridge superelliptic curves and their rational points

Cites Work

• Irreducibility of generalized Hermite-Laguerre polynomials
• Irreducibility of some orthogonal polynomials
• On the Galois group of generalized Laguerre polynomials
• Irreducibility of generalized Hermite-Laguerre polynomials. II.
• On classifying Laguerre polynomials which have Galois group the alternating group
• Generalizations of some irreducibility results by Schur
• On the irreducibility of certain polynomials with coefficients as products of terms in an arithmetic progression
• Algebraic Properties of a Family of Generalized Laguerre Polynomials
• Perfect powers in values of certain polynomials at integer points
• On the irreducibility of the generalized Laguerre polynomials
• Primes in arithmetic progressions

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