
Daniel Berend
Senior Academic
Polynomials with roots modulo every integer
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.
| Publication language | English |
| Pages | 1663-1671 |
| Journal | Proceedings of the American Mathematical Society |
| Volume | 124 |
| Issue number | 6 |
| Publication status | Published - 01.01.1996 |
Keywords
Congruences
Diophantine equations
Effective number theory
Poincaré sets
ASJC Scopus subject areas
General Mathematics
Applied Mathematics