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- W2924507002 abstract "Let $mathcal{P}$ denote the set of primes. For a fixed dimension $d$, Cook-Magyar-Titichetrakun, Tao-Ziegler and Fox-Zhao independently proved that any subset of positive relative density of $mathcal{P}^d$ contains an arbitrary linear configuration. In this paper, we prove that there exists such configuration with the step being a shifted prime (prime minus $1$ or plus $1$)." @default.
- W2924507002 created "2019-04-01" @default.
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- W2924507002 date "2019-03-20" @default.
- W2924507002 modified "2023-09-25" @default.
- W2924507002 title "Multidimensional configurations in the primes with shifted prime steps" @default.
- W2924507002 cites W1490170438 @default.
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- W2924507002 doi "https://doi.org/10.48550/arxiv.1903.08715" @default.
- W2924507002 hasPublicationYear "2019" @default.
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