CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  Publicationsjournals
Publications        
Search results

Search: MSC category 11T06 ( Polynomials )

  Expand all        Collapse all Results 1 - 1 of 1

1. CMB 2011 (vol 54 pp. 748)

Shparlinski, Igor E.
On the Distribution of Irreducible Trinomials
We obtain new results about the number of trinomials $t^n + at + b$ with integer coefficients in a box $(a,b) \in [C, C+A] \times [D, D+B]$ that are irreducible modulo a prime $p$. As a by-product we show that for any $p$ there are irreducible polynomials of height at most $p^{1/2+o(1)}$, improving on the previous estimate of $p^{2/3+o(1)}$ obtained by the author in 1989.

Keywords:irreducible trinomials, character sums
Categories:11L40, 11T06

© Canadian Mathematical Society, 2014 : https://cms.math.ca/