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On the representation of primes by cubic polynomials in two variables

On the representation of primes by cubic polynomials in two variables

In an earlier paper (see Proc. London Math. Soc. (3) 84 (2002) 257–288) we showed that an irreducible integral binary cubic form f(x, y) attains infinitely many prime values, providing that it has no fixed prime divisor. We now extend this result by showing that f(m, n) still attains infinitely …