Asymptotic equidistribution and convexity for Dyson partition ranks
Males, Joshua
arXiv, Tome 2019 (2019) no. 0, / Harvested from
We study the Dyson rank function $N(r,t;n)$, the number of partitions with rank congruent to $r$ modulo $t$. We first show that it is monotonic in $n$, and then show that it equidistributed as $n \rightarrow \infty$. Using this result we prove a conjecture of Hou and Jagadeeson on the convexity of $N(r,t;n)$.
Publié le : 2019-03-14
Classification:  Mathematics - Number Theory 
@article{1903.05857,
     author = {Males, Joshua},
     title = {Asymptotic equidistribution and convexity for Dyson partition ranks},
     journal = {arXiv},
     volume = {2019},
     number = {0},
     year = {2019},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1903.05857}
}

Males, Joshua. Asymptotic equidistribution and convexity for Dyson partition ranks. arXiv, Tome 2019 (2019) no. 0, . http://gdmltest.u-ga.fr/item/1903.05857/