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

DOI:
https://doi.org/10.1090/S0002-9947-1994-1257641-3

MathSciNet review:
1257641

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Abstract | References | Similar Articles | Additional Information

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 and . 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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Additional Information

DOI:
https://doi.org/10.1090/S0002-9947-1994-1257641-3

Keywords:
Additive divisor problem,
Hardy-Littlewood method

Article copyright:
© Copyright 1994
American Mathematical Society