On Linnik’s approximation to Goldbach’s problem. II

Autor:	Imre Z. Ruzsa, János Pintz
Rok vydání:	2020
Předmět:	Combinatorics General Mathematics Goldbach's conjecture Binary number Integer (computer science) Mathematics
Zdroj:	Acta Mathematica Hungarica. 161:569-582
ISSN:	1588-2632 0236-5294
DOI:	10.1007/s10474-020-01077-8
Popis:	Linnik considered about 70 years ago the following approximation to the binary Goldbach problem. Is it possible to give a fixed integer K such that every sufficiently large even integer could be written as the sum of two primes and K powers of two? He solved the problem affirmatively with an unspecified large K. The first explicit result $$(K=54\,000)$$ appeared at the end of the 1990's. In the present work we show that $$K=8$$ powers of two suffices without supposing any unproved hypothesis.
Databáze:	OpenAIRE
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