Abstract
The authors wish to celebrate the centenary of Pólya's paper Ueber ganzwertige ganze funktionen where first explicitly appeared the term “integer-valued polynomials.” This survey is focused on the emblematic example of the ring Int(ℤ) formed by the polynomials with rational coefficients taking integer values on the integers. This ring has surprising algebraic properties, often obtained by means of analytical properties. Yet, the article mentions also several extensions, either by considering integer-valued polynomials on a subset of ℤ, or by replacing ℤ by the ring of integers of a number field.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
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.