A Note on Polynomial Sequences Modulo Integers
Department of Mathematics
School of Science
Loudonville, NY 12211
We study the uniform distribution of the polynomial sequence
modulo integers, where
) is a polynomial with real coefficients. In the nonlinear case, we
is uniformly distributed in
only if P
) has at least one irrational coefficient other than the
constant term. In the case of even degree, we prove a stronger result:
intersects every congruence class modulo every integer if
and only if P
) has at least one irrational coefficient other than
the constant term.
Full version: pdf,
Received September 11 2018; revised version received December 16 2018.
Published in Journal of Integer Sequences,
December 17 2018.
Journal of Integer Sequences home page