John Boris Miller
Abstract
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Sufficient conditions are given for the existence of an mth power root of one polynomial modulo another, over the complexes or the reals. Examples show the non-necessity of the conditions. In particular cases there can exist infinitely many square roots.
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Sufficient conditions are given for the existence of an mth power root of one polynomial modulo another, over the complexes or the reals. Examples show the non-necessity of the conditions. In particular cases there can exist infinitely many square roots.
Key concepts: Mathematics, Modulo, Square root, Root (linguistics), Primitive root modulo n, Polynomial, Properties of polynomial roots, Power (physics)