39 citations · 40 across the 5 of their papers we have counts for
5 papers
Truncated theta series and partitions into distinct parts
Mircea Merca
Linear inequalities involving Euler's partition function have been the subject of recent studies. In this article, we consider the partition function counting the par…
-Series congruences involving statistical mechanics partition functions in regime III and IV of Baxter's solution of the hard-hexagon model
Mircea Merca
For each , the generating function of , the number of partitions of into odd parts or congruent to , , arises naturally in regime III o…
Combinatorial interpretations of two identities of Guo and Yang
Mircea Merca
The restricted partitions in which the largest part is less than or equal to and the number of parts is less than or equal to were investigated by Andrews in \cite{Andrews7…
Fast algorithm for generating ascending compositions
Mircea Merca
In this paper we give a fast algorithm to generate all partitions of a positive integer . Integer partitions may be encoded as either ascending or descending compositions for th…
Inequalities involving the generating function for the number of partitions into odd parts
Cristina Ballantine, Mircea Merca
Fibonacci numbers can be expressed in terms of multinomial coefficients as sums over integer partitions into odd parts. We use this fact to introduce a family of double inequalitie…