Asymptotic formulae for partition ranks
Jehanne Dousse; Michael H. Mertens
Acta Arithmetica (2015)
- Volume: 168, Issue: 1, page 83-100
- ISSN: 0065-1036
Access Full Article
top
Abstract
topHow to cite
topJehanne Dousse, and Michael H. Mertens. "Asymptotic formulae for partition ranks." Acta Arithmetica 168.1 (2015): 83-100. <http://eudml.org/doc/279820>.
@article{JehanneDousse2015,
abstract = {Using an extension of Wright's version of the circle method, we obtain asymptotic formulae for partition ranks similar to formulae for partition cranks which where conjectured by F. Dyson and recently proved by the first author and K. Bringmann.},
author = {Jehanne Dousse, Michael H. Mertens},
journal = {Acta Arithmetica},
keywords = {integer partitions; rank; circle method; Appell-Lerch sums},
language = {eng},
number = {1},
pages = {83-100},
title = {Asymptotic formulae for partition ranks},
url = {http://eudml.org/doc/279820},
volume = {168},
year = {2015},
}
TY - JOUR
AU - Jehanne Dousse
AU - Michael H. Mertens
TI - Asymptotic formulae for partition ranks
JO - Acta Arithmetica
PY - 2015
VL - 168
IS - 1
SP - 83
EP - 100
AB - Using an extension of Wright's version of the circle method, we obtain asymptotic formulae for partition ranks similar to formulae for partition cranks which where conjectured by F. Dyson and recently proved by the first author and K. Bringmann.
LA - eng
KW - integer partitions; rank; circle method; Appell-Lerch sums
UR - http://eudml.org/doc/279820
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.