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math.GM2019
Shnirelman's Theorem Applications
Felix Sidokhine
Shnirelman's theorem is applied to solving Diophantine equations, and also discussing of the problems of a representation of Gaussian integers by a sum of odd Gaussian primes.
math.GM2017
Goldbach's Conjecture and Euler's -Function
Felix Sidokhine
In this paper we propose an alternative formulation of the binary and ternary Goldbach conjectures as the systems of equations involving the Euler -function.