Generalized Perfect Numbers

D.P. Shukla; Shikha Yadav

Commentationes Mathematicae (2013)

  • Volume: 53, Issue: 1
  • ISSN: 2080-1211

Abstract

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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.

How to cite

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D.P. Shukla, and Shikha Yadav. "Generalized Perfect Numbers." Commentationes Mathematicae 53.1 (2013): null. <http://eudml.org/doc/292174>.

@article{D2013,
abstract = {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 $\sigma _\{+\}$ 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.},
author = {D.P. Shukla, Shikha Yadav},
journal = {Commentationes Mathematicae},
keywords = {Prime numbers, perfect numbers, super perfect numbers, arithmetical Functions},
language = {eng},
number = {1},
pages = {null},
title = {Generalized Perfect Numbers},
url = {http://eudml.org/doc/292174},
volume = {53},
year = {2013},
}

TY - JOUR
AU - D.P. Shukla
AU - Shikha Yadav
TI - Generalized Perfect Numbers
JO - Commentationes Mathematicae
PY - 2013
VL - 53
IS - 1
SP - null
AB - 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 $\sigma _{+}$ 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.
LA - eng
KW - Prime numbers, perfect numbers, super perfect numbers, arithmetical Functions
UR - http://eudml.org/doc/292174
ER -

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