Abstract
Let p be a prime. A set A of residues modulo p is said to be sum-free if there are no solutions to a = a′ + a″ with a, a′, a″ ∈ A. We show that there are 2p/3+o(p) such sets. We also count the number of distinct sets of the form B + B, where B is a set of residues modulo p. Once again, there are 2p/3+o(p) such sets.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Similar Papers
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.