A new upper bound for odd perfect numbers of a special form

Abstract

We shall given a new effectively computable upper bound of odd perfect numbers whose Euler factors are powers of fixed exponent, improving our old result in T. Yamada, Colloq. Math. 103 (2005), 303--307.Comment: 10 pages, the author's revised version; 3 pages, corrigendum to the previous (published in the journal) versio