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...

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Váldodahkkit: Ford, K, Konyagin, S, Maynard, J, Pomerance, C, Tao, T
Materiálatiipa: Journal article
Giella:English
Almmustuhtton: European Mathematical Society 2020