This paper presents the symmetries of differential equations associated with one-variable and Bivariate Hermite polynomials by proposing a representation of Lie algebra sl 2,R for these differential ...

Abstract: The study of congruences (mod p) for sparse polynomials in one variable arises in several contexts and an important special case occurs when differences between exponents of the monomials ...

An iterative technique is displayed whereby factors of arbitrary degree can be found for polynomials in one variable. Convergence is shown to occur always if a certain Jacobian does not vanish and if ...

Transactions of the American Mathematical Society, Vol. 216 (Feb., 1976), pp. 1-46 (46 pages) The first part of this paper deals with problems concerning the symmetric algebra of complex-valued ...

A method of iteration is developed in terms of a function of somewhat arbitrary character. Sufficient conditions are given for convergence of the process, yielding factors of arbitrary degree for ...