Quasialgebraic functions

• Autorzy: G. Binyamini , D. Novikov , S. Yakovenko
• Języki publikacji: EN

Abstrakty

EN

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).

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)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2011
• Tom: 94
• Numer: 1
• Strony: 61-81

Daty

wydano

2011

Twórcy

autor

G. Binyamini

• Department of Mathematics, Weizmann Institute of Science, Rehovot 76100, Israel

autor

D. Novikov

• Department of Mathematics, Weizmann Institute of Science, Rehovot 76100, Israel

autor

S. Yakovenko

• Department of Mathematics, Weizmann Institute of Science, Rehovot 76100, Israel

Identyfikatory

DOI

10.4064/bc94-0-3