Estimate for the Number of Zeros of Abelian Integrals on Elliptic Curves

Mihajlova, Ana

Serdica Mathematical Journal (2004)

  • Volume: 30, Issue: 1, page 1-16
  • ISSN: 1310-6600

Abstract

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2000 Mathematics Subject Classification: Primary 34C07, secondary 34C08.We obtain an upper bound for the number of zeros of the Abelian integral.The work was partially supported by contract No 15/09.05.2002 with the Shoumen University “K. Preslavski”, Shoumen, Bulgaria.

How to cite

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Mihajlova, Ana. "Estimate for the Number of Zeros of Abelian Integrals on Elliptic Curves." Serdica Mathematical Journal 30.1 (2004): 1-16. <http://eudml.org/doc/219579>.

@article{Mihajlova2004,
abstract = {2000 Mathematics Subject Classification: Primary 34C07, secondary 34C08.We obtain an upper bound for the number of zeros of the Abelian integral.The work was partially supported by contract No 15/09.05.2002 with the Shoumen University “K. Preslavski”, Shoumen, Bulgaria.},
author = {Mihajlova, Ana},
journal = {Serdica Mathematical Journal},
keywords = {Abelian Intergrals; Limit Cycles; Abelian integral; elliptic curve; reversible cubic Hamiltonian; polynomial perturbation; limit cycles; infinitesimal Hilbert 16th problem},
language = {eng},
number = {1},
pages = {1-16},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Estimate for the Number of Zeros of Abelian Integrals on Elliptic Curves},
url = {http://eudml.org/doc/219579},
volume = {30},
year = {2004},
}

TY - JOUR
AU - Mihajlova, Ana
TI - Estimate for the Number of Zeros of Abelian Integrals on Elliptic Curves
JO - Serdica Mathematical Journal
PY - 2004
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 30
IS - 1
SP - 1
EP - 16
AB - 2000 Mathematics Subject Classification: Primary 34C07, secondary 34C08.We obtain an upper bound for the number of zeros of the Abelian integral.The work was partially supported by contract No 15/09.05.2002 with the Shoumen University “K. Preslavski”, Shoumen, Bulgaria.
LA - eng
KW - Abelian Intergrals; Limit Cycles; Abelian integral; elliptic curve; reversible cubic Hamiltonian; polynomial perturbation; limit cycles; infinitesimal Hilbert 16th problem
UR - http://eudml.org/doc/219579
ER -

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