The Goldbach problem for primes that are sums of two squares plus one
We study the Goldbach problem for primes represented by the polynomial $x^2+y^2+1$. The set of such primes is sparse in the set of all primes, but the infinitude of such primes was established by Linnik. We prove that almost all even integers $n$ satisfying certain necessary local conditions are rep...
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University College London, Faculty of Mathematical and Physical Sciences, Department of Mathematics
2018
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