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Notations and definitions
A theorem of Frobenius on factorized linear differential equations
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analytic function argument principle assume without loss boundary Chapter coefficients constant convex convex hull Corollary 3.8 Debrecen define degree Denote the number derive disk estimate exp(-i JX exponential sums f in a,b following result Frobenius functions f Hence Hoofdstuk Im(f Indag induction hypothesis inequality interval Ja+e least n zeros Let f Let f(z LINEAR DIFFERENTIAL EQUATIONS linearly independent lower bound Math meromorphic functions N_(f NA(g ND(f Nederl neighbourhood nomials non-trivial zeros NT(f number N f number of zeros obtain p-adic Pk(z poles of f Polya polynomial f Poorten proefschrift proves the lemma proves the theorem Rijksuniversiteit Leiden Rolle's theorem satisfies NR(f segment sign change tend to zero Theorem 6.3 Tijdeman triangle inequality trivial upper bound Voorhoeve Waldschmidt Wiskunde wordt wronskian determinant yields zeros of exponential zeros of f zeros or poles