e-Perfect Number

A number is called an -perfect number if , where is the Sum of thee-Divisor of . If is Squarefree, then . As a result, if is -perfect and is Squarefree with , then is -perfect. There are no Odd -perfectnumbers.

References

Guy, R. K. ``Exponential-Perfect Numbers.'' §B17 in Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, p. 73, 1994.

Subbarao, M. V. and Suryanarayan, D. ``Exponential Perfect and Unitary Perfect Numbers.'' Not. Amer. Math. Soc. 18, 798, 1971.

• Heegaard Splitting
• Heegner Number
• Heesch Number
• Heesch's Problem
• Height
• Heilbronn Triangle Problem
• Heine-Borel Theorem
• Heine Hypergeometric Series
• Heisenberg Group
• Heisenberg Space
• Held Group
• Helen of Geometers
• Helicoid
• Helix
• Helly Number
• Helly's Theorem
• Helmholtz Differential Equation
• Helmholtz Differential Equation--Bipolar Coordinates
• Helmholtz Differential Equation--Cartesian Coordinates
• Helmholtz Differential Equation--Circular Cylindrical Coordinates
• Helmholtz Differential Equation--Confocal Ellipsoidal Coordinates
• Helmholtz Differential Equation--Confocal Paraboloidal Coordinates
• Helmholtz Differential Equation--Conical Coordinates
• Helmholtz Differential Equation--Elliptic Cylindrical Coordinates
• Helmholtz Differential Equation--Oblate Spheroidal Coordinates