Abstract
Triplets of polynomials in four variables with rational coefficients and every term of arbitrarily high degree are exhibited. At least one polynomial in each triplet vanishes on infinitely many integer points whose coordinates are all prime.
Partially supported by NSF Contract DMS 0070496.
In memory of Robert A. Rankin
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Elliott, P.D.T.A. (2003). More Primes and Polynomials. In: Berndt, B., Ono, K. (eds) Number Theory and Modular Forms. Developments in Mathematics, vol 10. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-6044-6_22
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DOI: https://doi.org/10.1007/978-1-4757-6044-6_22
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