Alexandru Ciolan

activity

20182020

collaborators

4 papers

math.NT2020

Inequalities between overpartition ranks for all moduli

Alexandru Ciolan

In this paper we give a full description of the inequalities that can occur between overpartition ranks. If $N (a, c, n)$ denotes the number of overpartitions of $n$ wi…

math.NT2020

Equidistribution and inequalities for partitions into powers

Alexandru Ciolan

If $p_{k} (a, m, n)$ denotes the number of partitions of $n$ into $k$ th powers with a number of parts that is congruent to $a$ modulo $m,$ then $p_{2} (0, 2, n) \sim p_{2} (1, 2, n)$ and the s…

math.NT2019

Ranks of overpartitions: Asymptotics and inequalities

Alexandru Ciolan

In this paper we compute asymptotics for the coefficients of an infinite class of overpartition rank generating functions. Using these results, we show that $ \overline{N}(a,c,n),…

math.NT2018

Asymptotics and inequalities for partitions into squares

Alexandru Ciolan

In this paper we prove that the number of partitions into squares with an even number of parts is asymptotically equal to that of partitions into squares with an odd number of part…