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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)



Integer vectors with interprimed components

Author: Harold N. Shapiro
Journal: Math. Comp. 27 (1973), 455-462
MSC: Primary 10H15
MathSciNet review: 0335452
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Abstract: Vectors are considered whose components are positive integers. Such a vector is called interprimed if the components all contain exactly the same distinct prime factors. A method is provided for estimating the number of such vectors, all of whose components are less than a given bound. These estimates resolve a conjecture of Erdös and Motzkin.

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Article copyright: © Copyright 1973 American Mathematical Society