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The Bombieri–Vinogradov Theorem for Primes of the Form \(p=x^2+y^2+1\)

  • S. I. Dimitrov

摘要

In this paper, we establish a Bombieri–Vinogradov type result for prime numbers of the form \(p=x^2+y^2+1\) p = x 2 + y 2 + 1 . The proof is based on the enveloping sieve.