## Shane Chern : Distribution of Reducible Polynomials with a Given Coefficient Set, p. 141-146

### Abstract:

For a given set of integers , let denote the set of reducible polynomials over with and . In this note, we shall give an explicit bound of . We also present an application of this bound to reducible bivariate polynomials over .

Key Words: Reducible polynomial, bivariate polynomial, counting function, Euler's identity

2010 Mathematics Subject Classification: Primary 11C08
Secondary 11N45