On a certain sum in number theory. II
نویسندگان
چکیده
منابع مشابه
The unit sum number of discrete modules
In this paper, we show that every element of a discrete module is a sum of two units if and only if its endomorphism ring has no factor ring isomorphic to $Z_{2}$. We also characterize unit sum number equal to two for the endomorphism ring of quasi-discrete modules with finite exchange property.
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A simple undirected graph G is called a sum graph if there is a labeling L of the vertices of G into distinct positive integers such that any two vertices u and v of G are adjacent if and only if there is a vertex w with label L(w) = L(u) + L(v). The sum number (H) of a graph H = (V; E) is the least integer r such that graph G consisting of H and r isolated vertices is a sum graph. It is clear ...
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A simple undirected graph G is called a sum graph if there is a labeling L of the vertices of G into distinct positive integers such that any two vertices u and v of G are adjacent if and only if there is a vertex w with label L(w) = L(u) + L(v). The sum number (H) of a graph H = (V; E) is the least integer r such that graph G consisting of H and r isolated vertices is a sum graph. It is clear ...
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Any real number x in the unit interval can be expressed as a continued fraction x = [n1, ..., nN , ...]. Subsets of zero measure are obtained by imposing simple conditions on the n N . By imposing n N ≤ m ∀ N ∈ IN , Jarnik defined the corresponding sets Em and gave a first estimate of dH(Em), dH the Hausdorff dimension. Subsequent authors improved these estimates. In this paper we deal with dH(...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1974
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1974-0435002-1