On the distribution of natural numbers with divisors from an arithmetic progression
P. Varbanec (1991)
Acta Arithmetica
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Displaying similar documents to “The divisor function on residue classes I”
On the distribution of natural numbers with divisors from an arithmetic progression
On the independence of σ(ϕ(n)) and ϕ(σ(n))
Mohand-Ouamar Hernane, Florian Luca (2009)
Acta Arithmetica
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Sums of multiplicative function in special arithmetic progressions
Bin Feng (2019)
Czechoslovak Mathematical Journal
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We find, via the Selberg-Delange method, an asymptotic formula for the mean of arithmetic functions on certain APs. It generalizes a result due to Cui and Wu (2014).
The Generalized Divisor Problem Over Arithmetic Progressions.
Robert A. Smith (1982)
Mathematische Annalen
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Asymptotics for a class of arithmetic functions
Wenguang Zhai (2015)
Acta Arithmetica
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We study the asymptotic behaviour of the summatory function of a class of arithmetic functions. These functions are generalizations of the well-known general 4-dimensional divisor function d₄(n). We show that the corresponding error estimate is the best one can obtain by the present methods of analytic number theory.
The strength of Turing determinacy within second order arithmetic
Antonio Montalbán, Richard A. Shore (2016)
Fundamenta Mathematicae
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We investigate the reverse mathematical strength of Turing determinacy up to Σ₅⁰, which is itself not provable in second order arithmetic.
Average multiplicative orders of elements modulo n
Florian Luca, Igor E. Shparlinski (2003)
Acta Arithmetica
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Arithmetic properties of numbers with restricted digits
William D. Banks, Igor E. Shparlinski (2004)
Acta Arithmetica
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Some remarks on bicommutability
M. Artigue, E. Isambert, M. Perrin, A. Zalc (1978)
Fundamenta Mathematicae
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A generalization of Freiman's 3k-3 Theorem
Yahya Ould Hamidoune, Alain Plagne (2002)
Acta Arithmetica
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Some results on Oppenheim's "Factorisatio Numerorum" function
Florian Luca, Anirban Mukhopadhyay, Kotyada Srinivas (2010)
Acta Arithmetica
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On the structure of sets with many k-term arithmetic progressions
(2009)
Acta Arithmetica
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On the composition of the arithmetic functions σ and φ
Carl Pomerance (1989)
Colloquium Mathematicae
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Algebra with Arithmetic and Mensuration
Brahmagupta
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The Elements of Arithmetic
Augustus DeMorgan
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On disjoint arithmetic progressions
Yong-Gao Chen (2005)
Acta Arithmetica
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