On multiplicative decompositions of polynomial sequences, I

DOI10.4064/AA170620-13-12zbMath1452.11114OpenAlexW4239450633MaRDI QIDQ4581957

András Sárközy, Lajos Hajdu

Publication date: 21 August 2018

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa170620-13-12

zbMATH Keywords

multiplicative decompositionquadratic polynomialsPell equationsshifted squares

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Distribution of integers with specified multiplicative constraints (11N25) Primes represented by polynomials; other multiplicative structures of polynomial values (11N32)

Related Items (6)

On additive and multiplicative decompositions of sets of integers composed from a given set of primes, I (Additive decompositions) ⋮ On additive and multiplicative decompositions of sets of integers with restricted prime factors. I: Smooth numbers ⋮ On additive and multiplicative decompositions of sets of integers composed from a given set of primes, II (Multiplicative decompositions) ⋮ On multiplicative decompositions of polynomial sequences, II ⋮ Another 𝑆-unit variant of Diophantine tuples ⋮ Unnamed Item

Cites Work

• Unnamed Item
• A new method of proving some classical theorems of Abelian groups.
• An arithmetic method of counting the subgroups of a finite abelian group
• Exponential Sums and Lattice Points III
• Additive Decompositions of Subgroups of Finite Fields
• ON THE AVERAGE NUMBER OF SUBGROUPS OF THE GROUP ℤ_m × ℤ_n

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