Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
We introduce and discuss a new class of (multivalued analytic) transcendental functions which still share with algebraic functions the property that the number of their isolated zeros can be explicitly counted. On the other hand, this class is sufficiently rich to include all periods (integral of rational forms over algebraic cycles).
Słowa kluczowe
Kategorie tematyczne
- 34M99: None of the above, but in this section
- 34M03: Linear equations and systems
- 32S65: Singularities of holomorphic vector fields and foliations
- 34M56: Isomonodromic deformations
- 34M35: Singularities, monodromy, local behavior of solutions, normal forms
- 34C08: Connections with real algebraic geometry (fewnomials, desingularization, zeros of Abelian integrals, etc.)
- 34C07: Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications)
Czasopismo
Rocznik
Tom
Numer
Strony
61-81
Opis fizyczny
Daty
wydano
2011
Twórcy
autor
- Department of Mathematics, Weizmann Institute of Science, Rehovot 76100, Israel
autor
- Department of Mathematics, Weizmann Institute of Science, Rehovot 76100, Israel
autor
- Department of Mathematics, Weizmann Institute of Science, Rehovot 76100, Israel
Bibliografia
Typ dokumentu
Bibliografia
Identyfikatory
DOI
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_4064-bc94-0-3