Asymptotic formulae for partition ranks
Jehanne Dousse ; Michael H. Mertens
Acta Arithmetica, Tome 168 (2015), p. 83-100 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2015-01-01
EUDML-ID : urn:eudml:doc:279820 
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     author = {Jehanne Dousse and Michael H. Mertens},
     title = {Asymptotic formulae for partition ranks},
     journal = {Acta Arithmetica},
     volume = {168},
     year = {2015},
     pages = {83-100},
     zbl = {1316.05009},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa168-1-5}
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Jehanne Dousse; Michael H. Mertens. Asymptotic formulae for partition ranks. Acta Arithmetica, Tome 168 (2015) pp. 83-100. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa168-1-5/