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

Serdica Mathematical Journal (2004)

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

## Access Full Article

top## Abstract

top## How to cite

topMihajlova, 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 -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.