- q-Stirling numbers: A new view
2015/06/30 by Yue Cai, Margaret A. Readdy · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebraic number #Algebraic structures and combinatorial models #Bijection #Function (biology) #Generating function #Integer (computer science) #Partially ordered set #Rank (graph theory) #Stirling numbers of the second kind #math.CO #msc:05A18 #msc:05A30 #msc:06A07 #msc:11B73 #msc:18G35
- Periodic analogues of Dedekind sums and transformation formulas of Eisenstein series
2015/06/30 by Muhammet Cihat Dağlı, M. Cihat Dağlı, Mümün Can · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebra over a field #Analytic Number Theory Research #Bernoulli number #Bernoulli's principle #Class (philosophy) #Dedekind cut #Dedekind eta function #Dedekind sum #Eisenstein series #Generating function #Mathematical analysis #Mathematics #Modular form #Physics #Pure mathematics #Reciprocity (cultural anthropology) #Reciprocity law #Series (stratigraphy) #Transformation (genetics) #math.NT #msc:11B68 #msc:11F20 #msc:11M36
- Eulerian quasisymmetric functions
2008/12/03 by John Shareshian, Shareshian, John, Michelle L. Wachs +1 · 2 citations
Mathematics · #05A15 #05A30 #05E05 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebraic structures and combinatorial models #Combinatorics #Combinatorics (math.CO) #Derangement #Discrete mathematics #Eulerian path #FOS: Mathematics #Generating function #Joint probability distribution #Mathematics #Permutation (music) #Pure mathematics #Statistics #Unimodality #math.CO #msc:05A15 #msc:05A30 #msc:05E05
- Asymptotics of the partition function for random matrices via Riemann-Hilbert techniques, and applications to graphical enumeration
2002/11/13 by Nicholas M. Ercolani, N. M. Ercolani, Ercolani, N. M. +3 · 3 citations
Mathematics · Physics and Astronomy · #82D30 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Asymptotic expansion #Classical Analysis and ODEs (math.CA) #Combinatorics #Eigenvalues and eigenvectors #Enumeration #FOS: Mathematics #FOS: Physical sciences #Free probability #Generating function #Mathematical Physics (math-ph) #Mathematical analysis #Mathematics #Orthogonal polynomials #Partition (number theory) #Partition function (quantum field theory) #Pure mathematics #Random Matrices and Applications #Random matrix #Riemann hypothesis #math-ph #math.CA #math.MP #msc:82D30