The equation n(n+d) ⋅⋅⋅(n+(k-1)d)=by2with ω(d)≤6 or d≤1010

DOI10.4064/aa129-3-2zbMath1140.11020OpenAlexW2119895272MaRDI QIDQ5310186

Shanta Laishram, Tarlok N. Shorey

Publication date: 20 September 2007

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

Full work available at URL: https://doi.org/10.4064/aa129-3-2

zbMATH Keywords

congruencessquaresarithmetic progressionsexponential Diophantine equationssquarefree integersLegendre symbol

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61)

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On products of disjoint blocks of arithmetic progressions and related equations ⋮ The Diophantine equation f(x)=g(y)$f(x)=g(y)$ for polynomials with simple rational roots ⋮ On a problem of Erdős and Graham ⋮ Diophantine equations with products of consecutive values of a quadratic polynomial ⋮ Polynomial products modulo primes and applications ⋮ Analytic number theory in India during 2001-2010

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