On the irrationality of a divisor function series.
Friedlander, John B., Luca, Florian, Stoiciu, Mihai (2007)
Integers
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Friedlander, John B., Luca, Florian, Stoiciu, Mihai (2007)
Integers
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Ralph Alexander (1967)
Acta Arithmetica
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Štefan Porubský, Kazimierz Szymiczek (2000)
Acta Mathematica et Informatica Universitatis Ostraviensis
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Christian Ballot, Florian Luca (2013)
Acta Arithmetica
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Romanoff (1934) showed that integers that are the sum of a prime and a power of 2 have positive lower asymptotic density in the positive integers. We adapt his method by showing more generally the existence of a positive lower asymptotic density for integers that are the sum of a prime and a term of a given nonconstant nondegenerate integral linear recurrence with separable characteristic polynomial.
Alfred Rényi (1951)
Compositio Mathematica
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Hongze Li, Hao Pan (2008)
Acta Arithmetica
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Golomb, S. W.
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