On the asymptotic behavior of some counting functions, II

Wolfgang A. Schmid. "On the asymptotic behavior of some counting functions, II." Colloquium Mathematicae 102.2 (2005): 197-216. <http://eudml.org/doc/284286>.

@article{WolfgangA2005,
abstract = {The investigation of the counting function of the set of integral elements, in an algebraic number field, with factorizations of at most k different lengths gives rise to a combinatorial constant depending only on the class group of the number field and the integer k. In this paper the value of these constants, in case the class group is an elementary p-group, is estimated, and determined under additional conditions. In particular, it is proved that for elementary 2-groups these constants are equivalent to constants that are investigated in extremal graph theory.},
author = {Wolfgang A. Schmid},
journal = {Colloquium Mathematicae},
keywords = {factorizations; zero-sum sequence; block monoid; half-factorial; edge disjoint cycles},
language = {eng},
number = {2},
pages = {197-216},
title = {On the asymptotic behavior of some counting functions, II},
url = {http://eudml.org/doc/284286},
volume = {102},
year = {2005},
}

TY - JOUR
AU - Wolfgang A. Schmid
TI - On the asymptotic behavior of some counting functions, II
JO - Colloquium Mathematicae
PY - 2005
VL - 102
IS - 2
SP - 197
EP - 216
AB - The investigation of the counting function of the set of integral elements, in an algebraic number field, with factorizations of at most k different lengths gives rise to a combinatorial constant depending only on the class group of the number field and the integer k. In this paper the value of these constants, in case the class group is an elementary p-group, is estimated, and determined under additional conditions. In particular, it is proved that for elementary 2-groups these constants are equivalent to constants that are investigated in extremal graph theory.
LA - eng
KW - factorizations; zero-sum sequence; block monoid; half-factorial; edge disjoint cycles
UR - http://eudml.org/doc/284286
ER -