Add to ORKGCombinatorial mathematics is not frequently associated with quantum physics. However, work in one discipline can motivate investigations in the other. A recent conjecture regarding allowed multiplets in the composite fermion model led to a proof of the unimodality of restricted partitions with duplicate or consecutive parts.This in turn, allowed the original physics conjecture to be verified. The goal of my research is to use the KOH theorem to explore and identify other special sets of restricted integer partitions and use those sets to further generalize the conjecture mentioned above
In a recent paper (Tran et al, Ann. Phys.311, 204 (2004)), some asymptotic number theoretical result...
The first chapter examines $p_b(n)$, the number of partitions of $n$ into powers of $b$, along with ...
The first chapter examines $p_b(n)$, the number of partitions of $n$ into powers of $b$, along with ...
Combinatorial mathematics is not frequently associated with quantum physics. However, work in one di...
We utilize the KOH theorem to prove the unimodality of integer partitions with at most a parts, all ...
We utilize the KOH theorem to prove the unimodality of integer partitions with at most a parts, all ...
AbstractWe utilize the KOH theorem to prove the unimodality of integer partitions with at most a par...
AbstractWe utilize the KOH theorem to prove the unimodality of integer partitions with at most a par...
The combinatorial tool of generating functions for restricted partitions is used to generalize a qua...
number theoretical results on the partitioning of an integer were derived exploiting its connection ...
We show how certain suitably modified N-modular diagrams of integer partitions provide a nice combin...
We show how certain suitably modified N-modular diagrams of integer partitions provide a nice combin...
We show how certain suitably modified N-modular diagrams of integer partitions provide a nice combin...
AbstractWe show how certain suitably modified N-modular diagrams of integer partitions provide a nic...
This paper exploits the connection between the quantum many-particle density of states and the parti...
In a recent paper (Tran et al, Ann. Phys.311, 204 (2004)), some asymptotic number theoretical result...
The first chapter examines $p_b(n)$, the number of partitions of $n$ into powers of $b$, along with ...
The first chapter examines $p_b(n)$, the number of partitions of $n$ into powers of $b$, along with ...
Combinatorial mathematics is not frequently associated with quantum physics. However, work in one di...
We utilize the KOH theorem to prove the unimodality of integer partitions with at most a parts, all ...
We utilize the KOH theorem to prove the unimodality of integer partitions with at most a parts, all ...
AbstractWe utilize the KOH theorem to prove the unimodality of integer partitions with at most a par...
AbstractWe utilize the KOH theorem to prove the unimodality of integer partitions with at most a par...
The combinatorial tool of generating functions for restricted partitions is used to generalize a qua...
number theoretical results on the partitioning of an integer were derived exploiting its connection ...
We show how certain suitably modified N-modular diagrams of integer partitions provide a nice combin...
We show how certain suitably modified N-modular diagrams of integer partitions provide a nice combin...
We show how certain suitably modified N-modular diagrams of integer partitions provide a nice combin...
AbstractWe show how certain suitably modified N-modular diagrams of integer partitions provide a nic...
This paper exploits the connection between the quantum many-particle density of states and the parti...
In a recent paper (Tran et al, Ann. Phys.311, 204 (2004)), some asymptotic number theoretical result...
The first chapter examines $p_b(n)$, the number of partitions of $n$ into powers of $b$, along with ...
The first chapter examines $p_b(n)$, the number of partitions of $n$ into powers of $b$, along with ...