On the factorization of consecutive integers

DOI10.1515/CRELLE.2009.030zbMath1223.11040OpenAlexW2016488242MaRDI QIDQ3625706

Ognian Trifonov, Michael A. Bennett, Michael Filaseta

Publication date: 6 May 2009

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crelle.2009.030

zbMATH Keywords

polynomialsfactorizationdistribution of primesdiophantine inequalities

Mathematics Subject Classification ID

Diophantine inequalities (11D75) Diophantine inequalities (11J25) Polynomials (irreducibility, etc.) (11R09) Distribution of primes (11N05) Factorization; primality (11A51)

Related Items (6)

Families of Laguerre polynomials with alternating group as Galois group ⋮ An irreducibility question concerning modifications of Laguerre polynomials ⋮ On classifying Laguerre polynomials which have Galois group the alternating group ⋮ On the digital representation of integers with bounded prime factors ⋮ ON THE FACTORISATION OF ⋮ Laguerre polynomials with Galois group \(A_m\) for each \(m\)

Cites Work

• Some generalized Laguerre polynomials whose Galois groups are the alternating groups
• On the irreducibility of a certain class of Laguerre polynomials
• Applications of the hypergeometric method to the generalized Ramanujan-Nagell equation
• The p ‐adic generalization of the Thue‐Siegel‐Roth theorem
• Fractional parts of powers of rationals
• Sharper Bounds for the Chebyshev Functions θ(x) and ψ(x)
• Sharper Bounds for the Chebyshev Functions θ(x) and ψ(x). II
• Some unconventional problems in number theory
• Fractional parts of powers of rational numbers
• Primes in arithmetic progressions

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