Abstract
For a prime p and an integer x, the p-adic valuation of x is denoted by νp(x). For a polynomial Q with integer coefficients, the sequence of valuations νp(Q(n)) is shown to be either periodic or unbounded. The first case corresponds to the situation where Q has no roots in the ring of p-adic integers. In the periodic situation, the period length is determined.
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.
