#### Title

Sums of k-th powers in the Ring of Polynomials with Integer Coefficients

#### Document Type

Article

#### Department

Mathematics (HMC)

#### Publication Date

1976

#### Abstract

Suppose *R* is a ring with identity element 1 and *k* is a positive integer. Let *H (k, R)* denote the set of *k*th powers of elements of *R,* and let *J(k,** R)* denote the additive subgroup of *R* generated by *H(k, R)*. If *Z *denotes the ring of integers, then

*G(k, R) = {a∊Z: aR ⊆ J(k, R)}*

is an ideal of *Z*.

#### Rights Information

© 1976 Institutum Mathematicum • Academia Scientiarum Polona

#### Recommended Citation

Chinburg, Ted; Henriksen, Melvin Sums of k-th powers in the ring of polynomials with integer coefficients. Acta Arith. 29 (1976), no. 3, 227–250.