Arithmetical properties of a sequence arising from an arctangent sum
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Publication:927730
DOI10.1016/j.jnt.2007.05.008zbMath1149.11007OpenAlexW2028218333MaRDI QIDQ927730
Tewodoros Amdeberhane, Victor H. Moll, Luis A. Medina
Publication date: 9 June 2008
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jnt.2007.05.008
Recurrences (11B37) Congruences; primitive roots; residue systems (11A07) Special sequences and polynomials (11B83) Primes represented by polynomials; other multiplicative structures of polynomial values (11N32) Factorization; primality (11A51)
Related Items (10)
On the products \((1^{3}+q^{3})(2^{3}+q^{3})\cdots (n^{3}+q^{3})\) ⋮ On the products \((1^\ell + 1)(2^\ell + 1)\cdots(n^\ell + 1)\). II ⋮ Products of consecutive values of some quartic polynomials ⋮ Numbers of the form \((1^{\ell}+q^{\ell})(2^{\ell}+q^{\ell})\cdots(n^{\ell}+q^\ell)\) that are not powerful ⋮ Powerful numbers in \((1^k +1)(2^k+1) \cdots (n^k +1)\) ⋮ On the products \((1^\ell +1)(2^\ell +1)\cdots (n^\ell +1)\) ⋮ Diophantine equations with products of consecutive values of a quadratic polynomial ⋮ An infinite collection of quartic polynomials whose products of consecutive values are not perfect squares ⋮ Squares in \((1^2+1)\dots(n^2+1)\) ⋮ A note on the products \((1^\mu +1)(2^\mu +1)\dots (n^\mu +1)\)
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- \(p\)-adic numbers: An introduction.
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- A Sieve Method for Factoring Numbers of the Form n 2 + 1
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- Lucas' square pyramid problem revisited
- A Problem on Arc Tangent Relations
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