English

Quasialgebraic Functions

Classical Analysis and ODEs 2011-09-12 v2 Algebraic Geometry Complex Variables Dynamical Systems

Abstract

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).

Keywords

Cite

@article{arxiv.1108.1847,
  title  = {Quasialgebraic Functions},
  author = {Gal Binyamini and Dmitry Novikov and Sergei Yakovenko},
  journal= {arXiv preprint arXiv:1108.1847},
  year   = {2011}
}

Comments

minor corrections

R2 v1 2026-06-21T18:48:06.534Z