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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.98.

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Integer vectors with interprimed components
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by Harold N. Shapiro PDF
Math. Comp. 27 (1973), 455-462 Request permission

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.
References
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Additional Information
  • © Copyright 1973 American Mathematical Society
  • Journal: Math. Comp. 27 (1973), 455-462
  • MSC: Primary 10H15
  • DOI: https://doi.org/10.1090/S0025-5718-1973-0335452-0
  • MathSciNet review: 0335452