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arxiv: 1711.08479 · v2 · pith:HYYQ6GIInew · submitted 2017-11-22 · 🧮 math.AG

On solutions of linear equations with polynomial coefficients

classification 🧮 math.AG
keywords admitadmitsarc-analyticcoefficientsequationevenlinearneed
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We show that a linear functional equation with polynomial coefficients need not admit an arc-analytic solution even if it admits a continuous semialgebraic one. We also show that such an equation need not admit a Nash regulous solution even if it admits an arc-analytic one.

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