منابع مشابه
A note on spectral mapping theorem
This paper aims to present the well-known spectral mapping theorem for multi-variable functions.
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PM**£(*') f° r h£rS$2 where h ( < ^ ) is the point nearest to s* at which €(li)«<r(4j). If $(52)==<r(52), then let h~$%. For r<t2 let p(r) =p(^)+log log log fc — log log log r for Ui^r^h where #1 (<*2) is the point of intersection of y—p with y = p (£2) + log log log fe—log log log r. Let p(r)~p for r i^ rgwi . It is always possible to choose H SO large that r\<ti\. We repeat the procedure and ...
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Let A,B be nonempty subsets of a an abelian group G. Let Ni(A,B) denote the set of elements of G having i distinct decompositions as a product of an element of A and an element of B. We prove that ∑ 1≤i≤t |Ni(A,B)| ≥ t(|A|+ |B| − t− α+ 1 + w) − w, where α is the largest size of a coset contained in AB and w = min(α − 1, 1), with a strict inequality if α ≥ 3 and t ≥ 2, or if α ≥ 2 and t = 2. Thi...
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 1986
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm-83-2-201-204