## Polynomials with roots modulo every integer.(English)Zbl 1055.11523

Summary: Given a polynomial with integer coefficients, we calculate the density of the set of primes modulo which the polynomial has a root. We also give a simple criterion to decide whether or not the polynomial has a root modulo every non-zero integer.

### MSC:

 11R09 Polynomials (irreducibility, etc.) 11R45 Density theorems 11D61 Exponential Diophantine equations 11U05 Decidability (number-theoretic aspects)
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### References:

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