Long gaps in sieved sets

For each prime p, let Ip⊂Z/pZ denote a collection of residue classes modulo p such that the cardinalities |Ip| are bounded and about 1 on average. We show that for sufficiently large x, the sifted set {n∈Z:n(modp)∉Ipforallp≤x} contains gaps of size x(logx)δ depends only on the densitiy of primes for...

Полное описание

Библиографические подробности
Главные авторы: Ford, K, Konyagin, S, Maynard, J, Pomerance, C, Tao, T
Формат: Journal article
Язык:English
Опубликовано: European Mathematical Society 2020