Divisors on the Blow-Up of the Projective Plane.
Geng Xu (1995)
Manuscripta mathematica
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Geng Xu (1995)
Manuscripta mathematica
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Werner Georg Nowak (1990)
Manuscripta mathematica
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Antonio Lanteri, Mauro Beltrametti (1987)
Manuscripta mathematica
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Antonio Lanteri, Mauro Beltrametti (1987)
Manuscripta mathematica
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Antonio Lanteri, Marino Palleschi (1983)
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Y.-F. S. Pétermann (2004)
Acta Arithmetica
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Douglas E. Iannucci, Florian Luca (2007)
Acta Arithmetica
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Tie Luo (1990)
Manuscripta mathematica
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Florian Luca, Carl Pomerance (2015)
Acta Arithmetica
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Answering a question of Erdős, we show that a positive proportion of even numbers are in the form s(n), where s(n) = σ(n) - n, the sum of proper divisors of n.
Steven Dale Cutkosky (1989)
Manuscripta mathematica
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Shi-Chao Chen, Yong-Gao Chen (2004)
Colloquium Mathematicae
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We prove an Ω result on the average of the sum of the divisors of n which are relatively coprime to any given integer a. This generalizes the earlier result for a prime proved by Adhikari, Coppola and Mukhopadhyay.
Gintautas Bareikis, Algirdas Mačiulis (2012)
Acta Arithmetica
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Fernando Serrano (1995)
Journal für die reine und angewandte Mathematik
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U. Balakrishnan, J. Sengupta (1990)
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Shihoko Ishii (1977)
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Stefano Trapani (1995)
Mathematische Zeitschrift
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Titu Andreescu, Florian Luca, M. Tip Phaovibul (2016)
Acta Arithmetica
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We prove that there are no strings of three consecutive integers each divisible by the number of its divisors, and we give an estimate for the number of positive integers n ≤ x such that each of n and n + 1 is a multiple of the number of its divisors.
Werner Georg Nowak, Hartmut Menzer (1989)
Manuscripta mathematica
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