Upper bounds on the cardinality of higher sumsets
Acta Arithmetica (2013)
- Volume: 158, Issue: 4, page 299-319
- ISSN: 0065-1036
Access Full Article
top
Abstract
topHow to cite
topGiorgis Petridis. "Upper bounds on the cardinality of higher sumsets." Acta Arithmetica 158.4 (2013): 299-319. <http://eudml.org/doc/279629>.
@article{GiorgisPetridis2013,
abstract = {Let A and B be finite sets in a commutative group. We bound |A+hB| in terms of |A|, |A+B| and h. We provide a submultiplicative upper bound that improves on the existing bound of Imre Ruzsa by inserting a factor that decreases with h.},
author = {Giorgis Petridis},
journal = {Acta Arithmetica},
keywords = {sumsets; Plünnecke-Ruzsa inequality; commutative graphs},
language = {eng},
number = {4},
pages = {299-319},
title = {Upper bounds on the cardinality of higher sumsets},
url = {http://eudml.org/doc/279629},
volume = {158},
year = {2013},
}
TY - JOUR
AU - Giorgis Petridis
TI - Upper bounds on the cardinality of higher sumsets
JO - Acta Arithmetica
PY - 2013
VL - 158
IS - 4
SP - 299
EP - 319
AB - Let A and B be finite sets in a commutative group. We bound |A+hB| in terms of |A|, |A+B| and h. We provide a submultiplicative upper bound that improves on the existing bound of Imre Ruzsa by inserting a factor that decreases with h.
LA - eng
KW - sumsets; Plünnecke-Ruzsa inequality; commutative graphs
UR - http://eudml.org/doc/279629
ER -
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.