Number of prime divisors in a product of terms of an arithmetic progression

DOI10.1016/S0019-3577(04)80015-6zbMath1142.11356MaRDI QIDQ2486115

Shanta Laishram, Tarlok N. Shorey

Publication date: 5 August 2005

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Mathematics Subject Classification ID

Distribution of integers with specified multiplicative constraints (11N25)

Related Items (11)

The greatest prime divisor of a product of terms in an arithmetic progression ⋮ Irreducibility of generalized Laguerre polynomials $L_n^{(1/2+u)}(x^2)$ with $-18 \leq u \leq -2$ ⋮ Extension of Laguerre polynomials with negative arguments ⋮ On classifying Laguerre polynomials which have Galois group the alternating group ⋮ PERFECT POWERS IN PRODUCTS OF TERMS OF ELLIPTIC DIVISIBILITY SEQUENCES ⋮ Irreducibility of generalized Hermite-Laguerre polynomials. II. ⋮ Irreducibility of generalized Hermite-Laguerre polynomials ⋮ Extensions of Schur's irreducibility results ⋮ Analytic number theory in India during 2001-2010 ⋮ Diophantine equations with products of consecutive terms in Lucas sequences ⋮ Powers in products of terms of Pell's and Pell–Lucas Sequences

Cites Work

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• The product of consecutive integers is never a power
• Almost perfect powers in arithmetic progression
• Some extensions and refinements of a theorem of Sylvester
• Explicit Estimates for θ (x; 3, l) and ψ(x; 3, l)
• Contributions towards a conjecture of Erdos on perfect powers in arithmetic progression
• Number of prime divisors in a product of consecutive integers
• On arithmetic progressions having only few different prime factors in comparison with their length
• Primes in arithmetic progressions

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