Generalized perfect numbers

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

Abstrakty

EN

In this paper a modified form of perfect numbers called (p, q)+ perfect numbers and their properties with examples have been discussed. Further properties of σ+ arithmetical function have been discussed and on its basis a modified form of perfect number called (p, q)+ super perfect numbers have been discussed. A modified form of perfect number called (p, 0)-perfect and their characterization has been studied. In the end of this paper almost super perfect numbers have been introduced.

Słowa kluczowe

EN

prime numbers; perfect numbers; super perfect numbers; arithmetical functions

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2013
• Tom: Vol 53, No. 1
• Strony: 61--72
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Shukla D. P.

• Department of Mathematics & Astronomy, Lucknow University

autor

Yadav S.

• Department of Mathematics & Astronomy, Lucknow University

Bibliografia

• [1] G. H. Hardy and E. M. Wright, An introduction to the theory of numbers, Oxford at the Clarendon Press, 1979.
• [2] J. Sandor and E. Egri, Arithmetical functions in algebra, geometry and analysis, Advanced studies in contemporary Mathematics, Vol.14 (2007), No.2, 163-213.
• [3] J. Sandor and K. Atanassov, On (m, n)-super perfect numbers, Advanced studies in contemporary Mathematics, Vol. 16 (2008), No.1, 34-45.
• [4] J. Sandor and K. Atanassov, On a modification of perfect numbers, Advanced studies in Contemporary mathematics 17(2008), No.2, pp. 249-255.
• [5] Mladen V. Vassilev- Missana and Krassimir T. Atanassov, A new point of view on perfect and other similar numbers, Advanced studies in contemporary mathematics 15 (2007), No.2, pp.153-169.