• Title of article

    On the sum of two primitive elements of maximal subfields of a finite field

  • Author/Authors

    B. V. Petrenko، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2003
  • Pages
    15
  • From page
    102
  • To page
    116
  • Abstract
    Let denote a finite field with r elements. Let q be a power of a prime, and p1,p2, p3 be distinct primes. Put y1=p1p2, y2=p1p3, y3=p2p3, y=p1p2p3, We express the number of elements in A in terms of q, p1, p2, p3 and give several applications to counting points in algebraic sets.
  • Keywords
    Finite field , Galois group , Linear disjointness , Primitive element , Probability , Algebraic set , Defining element , Cyclic field extension , Jacobi sum , Abelian field extension , Fieldcompositum
  • Journal title
    Finite Fields and Their Applications
  • Serial Year
    2003
  • Journal title
    Finite Fields and Their Applications
  • Record number

    701078