Results 21 to 30 of about 75 (71)
An identity for a class of arithmetical functions of several variables
, 1993 International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 2, Page 355-358, 1993.
Pentti Haukkanen
wiley +1 more source
The average order of the Dirichlet series of the gcd-sum function [PDF]
, 2007 Using a result of Bordellès, we derive the second term and improved error expressions for the partial sums of the Dirichlet series of the gcd-sum function, for all real values of the ...
Broughan, Kevin A.
core +1 more source
Dirichlet summations and products over primes
, 1991 International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 2, Page 359-372, 1993.
Geoffrey B. Campbell
wiley +1 more source
Arithmetic functions associated with infinitary divisors of an integer
, 1993 International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 2, Page 373-383, 1993.
Graeme L. Cohen, Peter Hagis
wiley +1 more source
On the ratio of the sum of divisors and Euler’s totient function II [PDF]
, 2014 We find the form of all solutions to ø(n) | σ(n) with three or fewer prime factors, except when the quotient is 4 and n is ...
Qizhi Zhou +3 more
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THE DISCRETE WALSH-TYPE TRANSFORM FOR INFINITE SEQUENCES [PDF]
, 2005 . We introduce a set of Walsh-type functions on positive integers and give the inversion formula by using these functions for an infinite sequence of complex numbers whose series converges absolutely.
Online, Japonicae Scientiae Mathematicae
core
On integers for which the sum of divisors is the square of the squarefree core [PDF]
, 2012 We study integers n > 1 satisfying the relation σ(n) = γ(n) ² , where σ(n) and γ(n) are the sum of divisors and the product of distinct primes dividing n, respectively. We show that the only solution n with at most four distinct prime factors is n = 1782.
De Koninck, Jean-Marie +3 more
core
Predictive Geometric Analysis of Even Perfect Numbers
Using the 52 known even perfect numbers, this paper identifies underlying structural regularities by projecting discrete arithmetic patterns into a continuous geometric space via a characteristic quadratic mapping.
Shang Yu Chen
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On Relatively Prime Decompositions and Related Results
, 2004 s unavailable at this time...Mathematics Subject Classification (2000): 11A25, 11P81 Keywords: partition, composition, relatively prime, arithmetic functions, related numbers, inversion formulas, elementary theory of partitions, inverse Quaestiones ...
Shonhiwa, Temba
core
On the ratio of the sum of divisors and Euler’s Totient Function I [PDF]
, 2013 We prove that the only solutions to the equation σ(n)=2φ(n) with at most three distinct prime factors are 3, 35 and 1045. Moreover, there exist at most a finite number of solutions to σ(n)=2φ(n) with Ω(n)≤ k, and there are at most 22k+k-k squarefree ...
Delbourgo, Daniel, Broughan, Kevin A.
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