PROBLEM: Equidistribution of Normalized Roots of Polynomials mod p
INVESTIGATOR: Leo Goldmakher
DESCRIPTION: For an irreducible polynomial f(x), consider the roots to
f(x) equivalent
to zero mod p. Divide by p, so the normalized roots lie in
[0,1). If f(x) is quadratic, it is known
that the normalized roots are
equidistributed in [0,1) (see Duke-Friedlander-Iwaniec). A survey
of DFI is given, as well as numerical investigations of higher degree
irreducible polynomials.
PROGRAMS: test.c