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arxiv: 0904.3526 · v1 · submitted 2009-04-22 · 🧮 math.NT

The ternary Goldbach problem with arithmetic weights attached to two of the variables

classification 🧮 math.NT
keywords goldbachproblemternaryvariablesarithmeticasymptoticattachedconsider
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We consider the ternary Goldbach problem with two prime variables of the form $k^2+m^2+1$ and find an asymptotic formula for the number of its solutions.

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