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The Estermann cubic problem with almost equal summands
Authors:Z Kh Rakhmonov
Institution:1. Institute of Mathematics, Academy of Sciences of the Republic of Tajikistan, Dushanbe, Tajikistan
Abstract:We prove an asymptotic formula for the number of representations of a sufficiently large natural number N as the sum of two primes p 1 and p 2 and the cube of a natural numbermsatisfying the conditions |p i ? N/3| ≤ H, |m 3 ? N/3| ≤ H, HN 5/6 ? 10.
Keywords:
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