We prove the existence of nonconstant harmonic functions with polynomial growth on manifolds with nonnegative Ricci curvature, Euclidean volume growth and unique tangent cone at infinity.

INGER JOHANNE HÅLAND, DONALD E. KNUTH, POLYNOMIALS INVOLVING THE FLOOR FUNCTION, Mathematica Scandinavica, Vol. 76, No. 2 (1995), pp. 194-200 ...

Polynomial and special function theory remains a vibrant area of mathematical research, interweaving classical algebra with advanced analysis. At its core, the study concerns algebraic expressions ...