Writing integers as sums of products
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- by Charles E. Chace PDF
- Trans. Amer. Math. Soc. 345 (1994), 367-379 Request permission
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.References
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Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 345 (1994), 367-379
- MSC: Primary 11P55; Secondary 11D85, 11N37
- DOI: https://doi.org/10.1090/S0002-9947-1994-1257641-3
- MathSciNet review: 1257641