On the distribution of natural numbers with divisors from an arithmetic progression
P. Varbanec (1991)
Acta Arithmetica
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P. Varbanec (1991)
Acta Arithmetica
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Mohand-Ouamar Hernane, Florian Luca (2009)
Acta Arithmetica
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Robert A. Smith (1982)
Mathematische Annalen
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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.
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.
Florian Luca, Igor E. Shparlinski (2003)
Acta Arithmetica
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William D. Banks, Igor E. Shparlinski (2004)
Acta Arithmetica
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M. Artigue, E. Isambert, M. Perrin, A. Zalc (1978)
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Yahya Ould Hamidoune, Alain Plagne (2002)
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Florian Luca, Anirban Mukhopadhyay, Kotyada Srinivas (2010)
Acta Arithmetica
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(2009)
Acta Arithmetica
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Carl Pomerance (1989)
Colloquium Mathematicae
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Brahmagupta
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Augustus DeMorgan
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Yong-Gao Chen (2005)
Acta Arithmetica
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Andrzej Grzegorczyk (1956)
Fundamenta Mathematicae
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