Results 71 to 80 of about 11,631 (230)
Coloured shuffle compatibility, Hadamard products, and ask zeta functions
Abstract We devise an explicit method for computing combinatorial formulae for Hadamard products of certain rational generating functions. The latter arise naturally when studying so‐called ask zeta functions of direct sums of modules of matrices or class‐ and orbit‐counting zeta functions of direct products of nilpotent groups.
Angela Carnevale+2 more
wiley +1 more source
Moduli of finite flat torsors over nodal curves
Abstract We show that log flat torsors over a family X/S$X/S$ of nodal curves under a finite flat commutative group scheme G/S$G/S$ are classified by maps from the Cartier dual of G$G$ to the log Jacobian of X$X$. We deduce that fppf torsors on the smooth fiberss of X/S$X/S$ can be extended to global log flat torsors under some regularity hypotheses.
Sara Mehidi, Thibault Poiret
wiley +1 more source
A four‐run orthogonal array for three two‐level factors. ABSTRACT Orthogonal arrays are arguably one of the most fascinating and important statistical tools for efficient data collection. They have a simple, natural definition, desirable properties when used as fractional factorials, and a rich and beautiful mathematical theory.
C. Devon Lin, John Stufken
wiley +1 more source
On an Erdős similarity problem in the large
Abstract In a recent paper, Kolountzakis and Papageorgiou ask if for every ε∈(0,1]$\epsilon \in (0,1]$, there exists a set S⊆R$S \subseteq \mathbb {R}$ such that |S∩I|⩾1−ε$\vert S \cap I\vert \geqslant 1 - \epsilon$ for every interval I⊂R$I \subset \mathbb {R}$ with unit length, but that does not contain any affine copy of a given increasing sequence ...
Xiang Gao+2 more
wiley +1 more source
A Survey of Alternating Permutations [PDF]
This survey of alternating permutations and Euler numbers includes refinements of Euler numbers, other occurrences of Euler numbers, longest alternating subsequences, umbral enumeration of classes of alternating permutations, and the cd-index of the ...
Stanley, Richard P.
core +1 more source
ABSTRACT The motivation of this paper is to explore and generalize Sakaguchi‐type functions, which play a significant role in geometric function theory. In this context, we introduce four new classes of analytic univalent functions: ℑΨ,tb,α,ρ,ℑϑb,α,ρ,ℑΘ,mb,α,ρ$$ {\Im}_{\Psi, t}^{b,\alpha, \rho },\kern0.3em {\Im}_{\vartheta}^{b,\alpha, \rho },\kern0.3em
Arzu Akgül
wiley +1 more source
On the number of bracelets whose co-periods divide a given integer [PDF]
Petros Hadjicostas
doaj +1 more source
On the outcome map of MVP parking functions: Permutations avoiding 321 and 3412, and Motzkin paths [PDF]
Pamela E. Harris+3 more
doaj +1 more source
Enumerative combinatorics, representations and quasisymmetric functions
Η παρούσα διατριβή αποτελείται ουσιαστικά από δυο μέρη με κύριο πρωταγωνιστή τις χρωματισμένες quasi-συμμετρικές συναρτήσεις. Το 1984 ο Gessel εισήγαγε τις quasi-συμμετρικές συναρτήσεις, μια γενίκευση των συμμετρικών συναρτήσεων. Έπειτα, το 1993, μαζί με τον Reutenauer μελέτησαν εκτιμήσεις διάφορων quasi-συμμετρικών συναρτήσεων που σχετίζονται με ...
openaire +2 more sources
Positivity of the second shifted difference of partitions and overpartitions: a combinatorial approach [PDF]
Koustav Banerjee
doaj +1 more source