Addendum and corrigenda to the paper “Infinitary superperfect numbers”
نویسندگان
چکیده
منابع مشابه
On finiteness of odd superperfect numbers
In this paper, some new results concerning the equation σ(N) = aM,σ(M) = bN are proved, which implies that there are only finitely many odd superperfect numbers with a fixed number of distinct prime factors.
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We study several cardinal, and ordinal–valued functions that are relatives of Hanf numbers. Let κ be an infinite cardinal, and let T ⊆ Lκ+,ω be a theory of cardinality ≤ κ, and let γ be an ordinal ≥ κ . For example we look at 1. μ∗T (γ, κ) := min{μ ∗ : ∀φ ∈ L∞,ω, with rk(φ) < γ, if T has the (φ, μ∗)-order property then there exists a formula φ ′ (x; y) ∈ Lκ+,ω, such that for every χ ≥ κ, T has ...
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ژورنال
عنوان ژورنال: Annales Mathematicae et Informaticae
سال: 2018
ISSN: 1787-5021,1787-6117
DOI: 10.33039/ami.2018.06.001