On the exceptional set in Goldbach’s problem in short intervals |
| |
Authors: | Kaisa Matomäki |
| |
Institution: | (1) University of London, Egham, UK |
| |
Abstract: | Let 1/5 < θ ≤ 1. We prove that there exists a positive constant δ such that the number of even integers in the interval X, X + X
θ] which are not a sum of two primes is 《 X
θ−δ. The proof uses the circle method, a sieve method, exponential sum estimates and zero-density estimates for L-functions.
Current address: Department of Mathematics, 20014 University of Turku, Finland.
Author’s address: Department of Mathematics, University of London, Royal Holloway, Egham, Surrey TW20 0EX, UK |
| |
Keywords: | 2000 Mathematics Subject Classification: 11P32 11P55 11N36 |
本文献已被 SpringerLink 等数据库收录! |
|