TY - THES U1 - Master Thesis A1 - Simon, Frank T1 - Enumerative Combinatorics in the Partition Lattice N2 - The focus of this thesis lies on the application of enumerative combinatorics to the partition lattice n. Some ideas beyond enumerative combinatorics are used to examine the lattice properties of n. The combinatorial aspects involve the counting of chains in the partition lattice with the associated exponential generating functions and a new derivation of the Möbius function in n. Finally different representations of some simple sums ranging over intervals in the partition lattice are discussed. KW - Kombinatorik Y2 - 2009 U6 - https://nbn-resolving.org/urn:nbn:de:bsz:mit1-opus-682 UN - https://nbn-resolving.org/urn:nbn:de:bsz:mit1-opus-682 ER -