Some results on Oppenheim's "Factorisatio Numerorum" function
Florian Luca, Anirban Mukhopadhyay, Kotyada Srinivas (2010)
Acta Arithmetica
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Displaying similar documents to “Arithmetic properties of overpartition pairs”
Some results on Oppenheim's "Factorisatio Numerorum" function
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).
Some remarks on bicommutability
M. Artigue, E. Isambert, M. Perrin, A. Zalc (1978)
Fundamenta Mathematicae
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The Elements of Arithmetic
Augustus DeMorgan
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Algebra with Arithmetic and Mensuration
Brahmagupta
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On the structure of sets with many k-term arithmetic progressions
(2009)
Acta Arithmetica
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Some proofs of undecidability of arithmetic
Andrzej Grzegorczyk (1956)
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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The Philosophy of Arithmetic
John Leslie
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The average order of a class of arithmetic functions over arithmetic progressions with applications to quadratic forms.
Robert A. Smith (1980)
Journal für die reine und angewandte Mathematik
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On disjoint arithmetic progressions
Yong-Gao Chen (2005)
Acta Arithmetica
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Textes & documents - A new source for medieval mathematics in the iberian peninsula: the commercial arithmetic in Ms 10106 (Biblioteca Nacional, Madrid)
Javier Docampo Rey (2009)
Revue d'histoire des mathématiques
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This paper contains a critical edition of a short commercial arithmetic written in Castilian (ca. 1400). The manuscript has certain characteristic features, like the presence of composite fractions, that distinguishes it from other known treatises of the Iberian peninsula. The document appears to improve considerably our knowledge of the origins and the transmission of vernacular commercial arithmetic in Europe.
Arithmetic progressions in sums of subsets of sparse sets
Tomasz Schoen (2011)
Acta Arithmetica
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Farhi arithmetic functions associated to Lucas sequences
Qing-Zhong Ji (2011)
Acta Arithmetica
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Arithmetic functions on Beatty sequences
Abercrombie Alex G., Banks William D., Shparlinski Igor E. (2009)
Acta Arithmetica
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