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Difference sets and shifted primes

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Abstract

We show that if A is a subset of {1, …, n} which has no pair of elements whose difference is equal to p − 1 with p a prime number, then the size of A is O(n(log log n)−c(log log log log log n)) for some absolute c > 0.

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Authors and Affiliations

  1. Département de Mathématiques et de Statistiques, Université de Montréal, CP 6128, succ. Centre-Ville, Montréal, Québec, H3C 3J7, Canada

    J. Lucier

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  1. J. Lucier
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Correspondence to J. Lucier.

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Lucier, J. Difference sets and shifted primes. Acta Math Hung 120, 79–102 (2008). https://doi.org/10.1007/s10474-007-7107-1

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  • DOI: https://doi.org/10.1007/s10474-007-7107-1

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