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Transactions of the American Mathematical Society

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Writing integers as sums of products

Author: Charles E. Chace
Journal: Trans. Amer. Math. Soc. 345 (1994), 367-379
MSC: Primary 11P55; Secondary 11D85, 11N37
MathSciNet review: 1257641
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Abstract: In this paper we obtain an asymptotic expression for the number of ways of writing an integer N as a sum of k products of l factors, valid for $ k \geq 3$ and $ l \geq 2$. The proof is an application of the Hardy-Littlewood method, and uses recent results from the divisor problem for arithmetic progressions.

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Keywords: Additive divisor problem, Hardy-Littlewood method
Article copyright: © Copyright 1994 American Mathematical Society

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