Diophantine equations with products of consecutive values of a quadratic polynomial
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Publication:555283
DOI10.1016/j.jnt.2011.03.006zbMath1242.11023OpenAlexW2013765233MaRDI QIDQ555283
Bo He, Shi-Chun Yang, Alain S. Togbé
Publication date: 22 July 2011
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jnt.2011.03.006
quadratic polynomialssquarespowersarithmetic progressions of prime numbersChebyshev inequalities for primes
Special sequences and polynomials (11B83) Exponential Diophantine equations (11D61) Higher degree equations; Fermat's equation (11D41) Distribution of primes (11N05)
Related Items (3)
On the products \((1^{3}+q^{3})(2^{3}+q^{3})\cdots (n^{3}+q^{3})\) ⋮ Numbers of the form \((1^{\ell}+q^{\ell})(2^{\ell}+q^{\ell})\cdots(n^{\ell}+q^\ell)\) that are not powerful ⋮ Prime powers dividing products of consecutive integer values of \(x^{2^n}+1\)
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