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Preprint Number 1966

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1966. Kartas Konstantinos
Diophantine problems over ℤ^{ab} modulo prime numbers

Submission date: 14 April 2021


Let ℤ^{ab} be the ring of integers of ℚ^{ab}, the maximal abelian extension of ℚ. We show that there exists an algorithm to decide whether a system of equations and inequations, with integer coefficients, has a solution in ℤ^{ab} modulo every rational prime.

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Full text arXiv 2104.06741: pdf, ps.

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