Introduction to the Reshet method. Korolev M.A.

The brochure is devoted to the brief introduction to the Reshet method - one of the most powerful methods of modern theory of numbers. She will introduce readers to the upper estimates on the number of simple twins and ordinary numbers Sophia Gemymen. From it, the reader learns about the function of Mobius, the Mertens formula and the Bombyeri-Vinogradov Theorem and with their help will take the first steps towards the proof of the binary hypothesis of Goldbach.

The brochure is based on a mini-course read by the author at the Modern Mathematics School School »In Dubna in July 2022