On Unitary Analogue of f_g-perfect numbers and Ψ_s-perfect numbers

• Autorzy: Shukla D. P. , Pandey S.
• Języki publikacji: EN

Abstrakty

EN

In this paper unitary analogue of f_g-Perfect numbers and some properties of Dedekind's function and all the Ψ-perfect numbers have been discussed.

Słowa kluczowe

EN

fg-perfect numbers; unitary divisors; arithmetic functions; Dedekind's function; g-perfect numbers; Psi-perfect numbers

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2011
• Tom: Vol. 51, [Z] 2
• Strony: 141--153
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Shukla D. P.

autor

Pandey S.

• Department of Mathematics and Astronomy, Lucknow University Lucknow 226007, India,

Bibliografia

• [1] D. Mitrinovic and M. Popadic, inequajites in Number theory, Univ. of Nis., Nis., 1978.
• [2] J. Pe, On a generalization of perfect numbers. J. Rec. Math. Vol.31, No.3, (2002-2003), 168-172
• [3] J. Sandor, On Dedekind's arithmetical function, Seminarul de t. Structurilor No. 51, 1988, 1-15, Univ. Timisoara, Romania.
• [4] J. Sandor and E. Egri, Arithmetic functions in algebra, gemoetry and analysis, Advnaced studies in Centemporary Mathematics, Vol.14, No.2, (2007), 163-213.
• [5] M.V. Vassilev-Missana and K.T. Atanassov, A new point of view on perfect and other similar numbers, Advanced studies in contemporary Mathematics, Vol.5, No.2 (2007), 153-169.
• [6] M.V. Vassilev-Missana and K.T. Atanassov, Modification of the concept of the perfect numbers. Proceedigns of thirty first spring conference of the union of Bulgarian Mathematicians, Borovets, 3-6 April, (2002), 221-224.