On the DDT theorem
G. Bareikis, E. Manstavičius (2007)
Acta Arithmetica
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Displaying similar documents to “Cesàro means related to the square of the divisor function”
On the DDT theorem
On fluctuations in the mean of a sum-of-divisors function
Y.-F. S. Pétermann (2004)
Acta Arithmetica
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A two-sides omega-theorem for an asymmetric divisor problem.
Werner Georg Nowak (1990)
Manuscripta mathematica
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Extension of Morphisms Defined on a Divisor.
Fernando Serrano (1987)
Mathematische Annalen
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The range of the sum-of-proper-divisors function
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.
On the average of the sum-of-p-prime-divisors function
S. D. Adhikari, G. Coppola, Anirban Mukhopadhyay (2002)
Acta Arithmetica
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On a problem of Pillai and its generalizations
L. Hajdu, N. Saradha (2010)
Acta Arithmetica
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Triangular numbers whose sum of divisors is also triangular
Douglas E. Iannucci, Florian Luca (2007)
Acta Arithmetica
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Divisor weighted sums.
Friedlander, J.B., Iwaniec, H. (2005)
Journal of Mathematical Sciences (New York)
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On the average of the sum-of-a-divisors function
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.
On consecutive integers divisible by the number of their divisors
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.
On ramifications divisors of functions in a punctured compact Riemann surface.
Pascual Cutillas Ripoll (1989)
Publicacions Matemàtiques
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Let ν be a compact Riemann surface and ν' be the complement in ν of a nonvoid finite subset. Let M(ν') be the field of meromorphic functions in ν'. In this paper we study the ramification divisors of the functions in M(ν') which have exponential singularities of finite degree at the points of ν-ν', and one proves, for instance, that if a function in M(ν') belongs to the subfield generated by the functions of this type, and has a finite ramification divisor, it also has a finite divisor....
On the k-free divisor problem
Jun Furuya, Wenguang Zhai (2006)
Acta Arithmetica
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On irregularities in the graph of generalized divisor functions
Gergely Zábrádi (2003)
Acta Arithmetica
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Restricted divisor sums
Kevin A. Broughan (2002)
Acta Arithmetica
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An addendum to the paper: “Arithmetic functions over rings with zero divisors” by Ruangsinsap, Laohakosol and P. Udomkavanich.
Narkiewicz, Władysław, Ruengsinsub, Pattira, Laohakosol, Vichian (2004)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Division - a systematic search for true digits
Milosav M. Marjanović (2005)
The Teaching of Mathematics
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An Asymptotic Series for an Additive Divisor Problem.
Yoichi Motohashi (1980)
Mathematische Zeitschrift
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On the k-free divisor problem (II)
Jun Furuya, Wenguang Zhai (2008)
Acta Arithmetica
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On fluctuations in the mean of a sum-of-divisors function, II
Y.-F. S. Pétermann (2007)
Colloquium Mathematicae
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I give explicit values for the constant implied by an Omega-estimate due to Chen and Chen [CC] on the average of the sum of the divisors of n which are relatively coprime to any given integer a.