Abstract
Let (x) be a polynomial with rational coefficients. Suppose that has the positive leading coefficient and zero constant term. Let A be a set of positive integers with the positive upper density. Then there exist x,y ∈ A and a prime p such that x −y = (p − 1). Furthermore, if P is a set of primes with the positive relative upper density, then there exist x,y ∈ P and a prime p such that x −y = (p − 1).
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: 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.
