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The ternary Goldbach problem with arithmetic weights attached to two of the variables
Authors:D.I. Tolev
Affiliation:Faculty of Mathematics and Informatics, Sofia University “St. Kl. Ohridsky”, 5 J. Bourchier, 1164 Sofia, Bulgaria
Abstract:We consider the ternary Goldbach problem with two prime variables of the form k2+m2+1 and find an asymptotic formula for the number of its solutions.
Keywords:Goldbach problems   Primes in arithmetic progressions   Sieve methods
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