Dorin Andrica, Sneha Chaubey, Eugen J. Ionascu and Alexandru Zaharescu: On a conjecture on the number of polynomials with coefficients in $[n]$, p.19-31

Abstract:

In this paper, we prove a counting result for the number of polynomials with integer coefficients bounded by a positive integer $n$ and having all roots integers.

Key Words: Polynomials with integer coefficients, Dirichlet divisor problem, Piltz divisor problem.

2010 Mathematics Subject Classification: Primary: 11B99
Secondary: 11C08.

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