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Writing integers as sums of products
Transactions of the American Mathematical Society
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 / factors, valid for k > 3 and / > 2. The proof is an application of the Hardy-Littlewood method, and uses recent results from the divisor problem for arithmetic progressions.doi:10.1090/s0002-9947-1994-1257641-3 fatcat:hrey6kmhinbi3krlzg753iw3tm