Quasialgebraic functions
Volume 94 / 2011
Banach Center Publications 94 (2011), 61-81
MSC: Primary 34C08, 32S65, 34M03, 34M56; Secondary 34C07, 34M35, 34M99.
DOI: 10.4064/bc94-0-3
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).
