On generalized multiplicative perfect numbers

Bhabesh Das and Helen K. Saikia
Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132
Volume 19, 2013, Number 4, Pages 37–42
Full paper (PDF, 99 Kb)

Details

Authors and affiliations

Bhabesh Das
Department of Mathematics, Gauhati University
Guwahati−781014, India

Helen K. Saikia
Department of Mathematics, Gauhati University
Guwahati−781014, India

Abstract

In this paper we define T*T multiplicative divisors function. This notion leads us to generalized multiplicative perfect numbers like T*T perfect numbers, k − T*T perfect numbers and T*₀T−super-perfect numbers. We attempt to characterize these numbers.

Keywords

• Perfect number
• Unitary perfect number
• Divisor function

AMS Classification

• 11A25

References

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