Results 21 to 30 of about 70 (69)
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
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
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
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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 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
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, 2013 In this paper, we intend to establish some inequalities on Jordan totient function. Using arithmetic functions like the Dedekind's function , the divisors function , Euler's totient function and their compositions we gave some results on ...
Bhabesh Das
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Contributions to Analytic Number Theory
, 2004 This paper reports on some recent contributions to the theory of multiplicative arithmetic semigroups, which have been initiated by John Knopfmacher's work on analytic number theory. They concern weighted inversion theorems of the Wiener type, mean-
Lucht, Lutz G
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The average order of the Dirichlet series of the gcd-sum function
, 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.
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On the ratio of the sum of divisors and Euler’s totient function II
, 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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On integers for which the sum of divisors is the square of the squarefree core
, 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
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