# Double exponential estimate for the number of zeros of complete Abelian integrals and rational envelopes of linear ordinary differential equations with an irreducible monodromy group.

Yulii Il'yashenko; Sergei Yakovenko

Inventiones mathematicae (1995)

- Volume: 121, Issue: 3, page 613-650
- ISSN: 0020-9910; 1432-1297/e

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topIl'yashenko, Yulii, and Yakovenko, Sergei. "Double exponential estimate for the number of zeros of complete Abelian integrals and rational envelopes of linear ordinary differential equations with an irreducible monodromy group.." Inventiones mathematicae 121.3 (1995): 613-650. <http://eudml.org/doc/144312>.

@article{Ilyashenko1995,

author = {Il'yashenko, Yulii, Yakovenko, Sergei},

journal = {Inventiones mathematicae},

keywords = {complete Abelian integrals; irreducible monodromy groups; exponential estimates},

number = {3},

pages = {613-650},

title = {Double exponential estimate for the number of zeros of complete Abelian integrals and rational envelopes of linear ordinary differential equations with an irreducible monodromy group.},

url = {http://eudml.org/doc/144312},

volume = {121},

year = {1995},

}

TY - JOUR

AU - Il'yashenko, Yulii

AU - Yakovenko, Sergei

TI - Double exponential estimate for the number of zeros of complete Abelian integrals and rational envelopes of linear ordinary differential equations with an irreducible monodromy group.

JO - Inventiones mathematicae

PY - 1995

VL - 121

IS - 3

SP - 613

EP - 650

KW - complete Abelian integrals; irreducible monodromy groups; exponential estimates

UR - http://eudml.org/doc/144312

ER -

## Citations in EuDML Documents

top- Frédéric Girard, Moulay-Ahmed Jebrane, Majorations affines du nombre de zéros d'intégrales abéliennes pour les hamiltoniens quartiques elliptiques
- Dmitri Novikov, Sergei Yakovenko, Simple exponential estimate for the number of real zeros of complete abelian integrals
- N. Roytwarf, Yosef Yomdin, Bernstein classes

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