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- W3157687416 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.
- W3157687416 created "2021-05-10" @default.
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- W3157687416 date "2021-05-06" @default.
- W3157687416 modified "2023-09-23" @default.
- W3157687416 title "Multidimensional configurations in the primes with shifted prime steps" @default.
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- W3157687416 doi "https://doi.org/10.1007/s10474-021-01143-9" @default.
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