# The non-existence of odd perfect numbers of a certain form

@article{McDaniel1970TheNO,
title={The non-existence of odd perfect numbers of a certain form},
author={Wayne L. McDaniel},
journal={Archiv der Mathematik},
year={1970},
volume={21},
pages={52-53}
}
Explicit sieve estimates and nonexistence of odd multiperfect numbers of a certain form
. We prove explicit asymptotic formulae for some functions used in sieve methods and show that there exists no odd multiperfect number of abundancy four whose squared part is cubefree.
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Introduction to Number Theory
A specific feature of this text on number theory is the rather extensive treatment of Diophantine equations of second or higher degree. A large number of non-routine problems are given. The book is