Quasialgebraic functions

G. Binyamini, D. Novikov, and S. Yakovenko. "Quasialgebraic functions." Banach Center Publications 94.1 (2011): 61-81. <http://eudml.org/doc/282472>.

@article{G2011,
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).},
author = {G. Binyamini, D. Novikov, S. Yakovenko},
journal = {Banach Center Publications},
keywords = {regular flat connection; root counting; Fuchsian system; Pfaffian system; monodromy; quasiunipotence; differential field; Picard-Vessiot extension},
language = {eng},
number = {1},
pages = {61-81},
title = {Quasialgebraic functions},
url = {http://eudml.org/doc/282472},
volume = {94},
year = {2011},
}

TY - JOUR
AU - G. Binyamini
AU - D. Novikov
AU - S. Yakovenko
TI - Quasialgebraic functions
JO - Banach Center Publications
PY - 2011
VL - 94
IS - 1
SP - 61
EP - 81
AB - 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).
LA - eng
KW - regular flat connection; root counting; Fuchsian system; Pfaffian system; monodromy; quasiunipotence; differential field; Picard-Vessiot extension
UR - http://eudml.org/doc/282472
ER -