Zeros of Exponential Polynomials |
Contents
Notations and definitions | 7 |
Introduction | 9 |
A theorem of Frobenius on factorized linear differential equations | 15 |
10 other sections not shown
Common terms and phrases
analytic function argument principle assume without loss boundary C₂ Chapter Ck,j coefficients complex constant Corollary 3.8 Debrecen define derive disk estimate exp(−i s exp(v(x exponential polynomial exponential sums f in a,b f(x+iy functions f ƒ³ Hence Hoofdstuk Indag induction hypothesis inequality interval least n zeros Let f Let F(z linearly independent lower bound Math meromorphic functions multiplicity N₁ N₁(f Nederl Ng(f nomials non-trivial zeros number f number N(f number of zeros obtain p-adic P₁ poles of f Pólya polynomial f Poorten Proof proves the lemma proves the theorem R²-zz Rijksuniversiteit Leiden Rolle's theorem Rouché's theorem S₁ satisfies segment sign change Theorem 6.3 Tijdeman Turán upper bound Voorhoeve w₁ Waldschmidt wordt wronskian determinant yields zeros of exponential zeros of f zeros or poles