Advances in Applied Mathematics

Article	Citations
Congruences on sums of q-binomial coefficients	73
q-Supercongruences modulo the fourth power of a cyclotomic polynomial via creative microscoping	38
Proof of a generalization of the (B.2) supercongruence of Van Hamme through a q-microscope	17
Degenerate r-Whitney numbers and degenerate r-Dowling polynomials via boson operators	16
Representations of degenerate Hermite polynomials	14
Combinatorial identities involving degenerate harmonic and hyperharmonic numbers	11
Weakly increasing trees on a multiset	10
q-Deformations in the modular group and of the real quadratic irrational numbers	9
On the chromatic polynomial and counting DP-colorings of graphs	9
Spectral determinations and eccentricity matrix of graphs	9
Lie algebras of matrix difference differential operators and special matrix functions	8
A unifying characterization of tree-based networks and orchard networks using cherry covers	8
The Kazhdan-Lusztig polynomials of uniform matroids	7
Shellability of face posets of electrical networks and the CW poset property	7
Eulerian polynomials and excedance statistics	7
The generalized modified Bessel function and its connection with Voigt line profile and Humbert functions	7
MacMahon's equidistribution theorem for k-Stirling permutations	7
Defect of Euclidean distance degree	7
q-Supercongruences from Gasper and Rahman's summation formula	6
Permanental generating functions and sequential importance sampling	6
David-Barton type identities and alternating run polynomials	6
The Orlicz Minkowski problem for the electrostaticp-capacity	6
Constructing minimal telescopers for rational functions in three discrete variables	6
The number of spanning trees of the Bruhat graph	6
Reconstructibility of unrooted level-k phylogenetic networks from distances	6

Meeting covered elements in ν-Tamari lattices	6
Eigenvalues and clique partitions of graphs	5
Cambrian combinatorics on quiver representations (type A)	5
Some structural results on D -finite functions	5
Some new mock theta functions	5
The pop-stack-sorting operator on Tamari lattices	5
Arithmetic properties of odd ranks and k-marked odd Durfee symbols	5
Some relatives of the Catalan sequence	5
On random stable matchings: Cyclic ones with strict preferences and two-sided ones with partially ordered preferences	5
DP color functions versus chromatic polynomials	4
Univoque bases of real numbers: Local dimension, Devil's staircase and isolated points	4
A note on the extremal non-central sections of the cross-polytope	4
Lattice bijections for string modules, snake graphs and the weak Bruhat order	4
On extensions of the Loomis-Whitney inequality and Ball's inequality for concave, homogeneous measures	4
Infinite families of Hecke-Rogers type series and their truncated representations	4
Horizontal visibility graph of a random restricted growth sequence	4
The (s,s + d,…,s + pd)-core partitions and the rational Motzkin paths	4
Some multivariate master polynomials for permutations, set partitions, and perfect matchings, and their continued fractions	4
Stieltjes moment properties and continued fractions from combinatorial triangles	4
Complex L affine isoperimetric inequalities	4
An asymptotic thin shell condition and large deviations for random multidimensional projections	4
Asymptotics of degrees and ED degrees of Segre products	4
Extended chromatic symmetric functions and equality of ribbon Schur functions	4
Explicit relations between multiple zeta values and related variants	4
Toric geometry of the Cavender-Farris-Neyman model with a molecular clock	4
Graph universal cycles of combinatorial objects	4
On Motzkin numbers and central trinomial coefficients	4
A context-free grammar for the Ramanujan-Shor polynomials	4
Further bijections to pattern-avoiding valid hook configurations	3
The free tangent law	3
Freezing sandpiles and Boolean threshold networks: Equivalence and complexity	3
Permutations avoiding 312 and another pattern, Chebyshev polynomials and longest increasing subsequences	3
Laguerre inequalities for discrete sequences	3
Dualities and endomorphisms of pseudo-cones	3
Asymptotic enumeration of linear hypergraphs with given number of vertices and edges	3
On the L torsional Minkowski problem for 0 < p < 1	3
Avoiding abelian powers cyclically	3
Enumeration of coalescent histories for caterpillar species trees and p-pseudocaterpillar gene trees	3
Phase retrieval from the norms of affine transformations	3
Learning algebraic decompositions using Prony structures	3
Chromatic aberration in metalenses	3
Cyclic flats of binary matroids	3
Ehrhart polynomials of rank two matroids	3
Stack-sorting with consecutive-pattern-avoiding stacks	3
Weight enumerators for nonbinary asymmetric quantum codes and their applications	3
Replica symmetry in upper tails of mean-field hypergraphs	3
Neural codes and the factor complex	3
Congruences for Andrews-Beck partition statistics modulo powers of primes	3
The runsort permuton	3
New invariants for permutations, orders and graphs	3

Generalized Lucas congruences and linear p-schemes	3
The sharp affine L2 Sobolev trace inequality and affine energy in the fractional Sobolev spaces	3
Eulerian polynomials for subarrangements of Weyl arrangements	3
Singularities of algebraic differential equations	3
Computing differential Galois groups of second-order linear q-difference equations	3
Friezes, weak friezes, and T-paths	3
A new capacity for the affine bounded variation	3
On the number of k-powers in a finite word	3
Frame matroids, toric ideals, and a conjecture of White	3
Hamiltonian paths, unit-interval complexes, and determinantal facet ideals	2
The secretary problem with biased arrival order via a Mallows distribution	2
On the dimension of systems of algebraic difference equations	2
Computational complexity of learning algebraic varieties	2
Spectra of twists of Cayley and Cayley sum graphs	2
Expansion formulas for multiple basic hypergeometric series over root systems	2
q-Type Lidstone expansions and an interpolation problem for entire functions	2
Encoding and ordering X-cactuses	2
On the automorphism group of the Morse complex	2
Bisecting envelopes of convex polygons	2
Further extensions of Haglund-Remmel-Wilson identity	2
Randomized sequential importance sampling for estimating the number of perfect matchings in bipartite graphs	2
Entropy compression versus Lovász Local Lemma	2
Hopf algebras of m-permutations, (m + 1)-ary trees, and m-parking functions	2
Geometric and probabilistic limit theorems in topological data analysis	2
Restricted intersecting families on simplicial complex	2
Analytic combinatorics of coordination numbers of cubic lattices	2
Set-valued Rothe tableaux and Grothendieck polynomials	2
Collectively canalizing Boolean functions	2
On the joint distribution of cyclic valleys and excedances over conjugacy classes of 2
Extended higher Herglotz functions I. Functional equations	2
Parking function varieties for combinatorial tree models	2
Curved foldings with common creases and crease patterns	2
Quasi-Stirling polynomials on multisets	2
Multiple codings of self-similar sets with overlaps	2
Thin-shell concentration for zero cells of stationary Poisson mosaics	2
Row-strict dual immaculate functions	2
New families of mock theta functions and partial fraction decomposition	2
Delta-matroids as subsystems of sequences of Higgs lifts	2
Hahn polynomials for hypergeometric distribution	2
Conditional independence ideals with hidden variables	2
Identities, inequalities and congruences for odd ranks and k-marked odd Durfee symbols	2
On the Markov numbers: Fixed numerator, denominator, and sum conjectures	2
Riordan array approach to Lagrange inversion formulas and Chung-Feller theory	2
The numerical algebraic geometry of bottlenecks	2
Toric geometry of path signature varieties	2
Twist polynomials of delta-matroids	2
(q,c)-Derivative operator and its applications	2
Pattern avoidance of [4,k]-pairs in circular permutations	2
Cycle structure of random parking functions	2
Factorization of KdV Schrödinger operators using differential subresultants	2
Blossoming bijection for bipartite pointed maps and parametric rationality of general maps of any surface	2
Combinatorially equivalent hyperplane arrangements	2
Using edge generating function to solve monomer-dimer problem	2
Complete edge-colored permutation graphs	2
Tropical recurrent sequences	2
Gelfand–Tsetlin-type weight bases for all special linear Lie algebra representations corresponding to skew Schur functions	2
Discrete quantitative Helly-type theorems with boxes	2
Interval parking functions	2
Combinatorial views on persistent characters in phylogenetics	1
Descent distribution on Catalan words avoiding ordered pairs of relations	1
Ricci curvature of Bruhat orders	1
Secretary problem with hidden information; searching for a high merit candidate	1
A generalisation of uniform matroids	1
Equidistributions of mesh patterns of length two and Kitaev and Zhang's conjectures	1
Proof for a Π -identity of Gosper	1
On the q-Dyson orthogonality problem	1
The measure-comparison problem for polar (p,μ)-centroid bodies	1
CW-complex Nagata idealizations	1
New equalities and inequalities for the ranks and cranks of partitions	1
A versatile combinatorial approach of studying products of long cycles in symmetric groups	1
Martingales and descent statistics	1
Connection relations for q-Taylor polynomial bases	1
The zeta-regularized product of odious numbers	1
Parallel translates of represented matroids	1
The carry propagation of the successor function	1
Realisations of Racah algebras using Jacobi operators and convolution identities	1
An extension of the Andrews–Warnaar partial theta function identity	1
On Stanley-Wilf limit of the pattern 1324	1
A complete characterization of graphs with exactly two positive eigenvalues	1
Gončarov polynomials in partition lattices and exponential families	1

On variation of eigenvalues of birth and death matrices and random walk matrices	1
Truncated sums for Hecke-Rogers type identities and Andrews-Hickerson's Bailey pair	1
Minimal invariant regions and minimal globally attracting regions for toric differential inclusions	1
The steady-state degree and mixed volume of a chemical reaction network	1
Triangular recurrences, generalized Eulerian numbers, and related number triangles	1
The range of repetition in reduced decompositions	1
Combinatorial perspectives on Dollo-k characters in phylogenetics	1
Strict monotonic trees arising from evolutionary processes: Combinatorial and probabilistic study	1
An improvement of Tusnády's inequality in the bulk	1
Exact solutions in log-concave maximum likelihood estimation	1
Alternating sign hypermatrix decompositions of Latin-like squares	1
A q-analogue of Wilson's congruence	1
Eigenvalues and critical groups of Adinkras	1
On the strength of chromatic symmetric homology for graphs	1
Quasi-equivalence of heights in algebraic function fields of one variable	1
A central limit theorem for descents and major indices in fixed conjugacy classes of S	1
Solving combinatorially the monomer-dimer problem on certain fractal scale-free lattices	1
Stability of the isodiametric problem on the sphere and in the hyperbolic space	1
Refined Eulerian numbers and ballot permutations	1
The distributions under two species-tree models of the total number of ancestral configurations for matching gene trees and species trees	1
Surface area deviation between smooth convex bodies and polytopes	1
Combinatorics of the symmetries of ascents in restricted inversion sequences	1
Modular proofs of Gosper's identities	1
Generalized coinvariant algebras for wreath products	1
An optimal algorithm for stopping on the element closest to the center of an interval	1
Computing the form of highest degree of the implicit equation of a rational surface	1
On the moments of normal distributions and numbers of standard Young tableaux	1
The image of the pop operator on various lattices	1
Sign changes of coefficients of powers of the infinite Borwein product	1
On graphic arrangement groups	1
On the ordering of the Markov numbers	1
Regularity lemmas for clustering graphs	1
Convex bodies generated by sublinear expectations of random vectors	1
Convergence properties of symmetrization processes	1
Supersolvable saturated matroids and chordal graphs	1
Finite size corrections relating to distributions of the length of longest increasing subsequences	1
Heisenberg models and Schur–Weyl duality	1
Identifiability of linear compartmental models: The singular locus	1
Properties for the Fréchet mean in Billera-Holmes-Vogtmann treespace	1
Asymptotically optimal matrix codes with Hamming and rank distances	1
Robustness of Pisot-regular sequences	1
Persistence for a class of order-one autoregressive processes and Mallows-Riordan polynomials	1
Cyclic pattern containment and avoidance	1
Guessing cards with complete feedback	1
Fibonacci numbers, consecutive patterns, and inverse peaks	1
On non-minimal complements	1
On a poset of trees revisited	1
Phase transition of degeneracy in minor-closed families	1
The expectation of the Vandermonde product squared for uniform random variables	0
The edge-product space of phylogenetic trees is not shellable	0
Directed Gaussian graphical models with toric vanishing ideals	0
The asymptotics of reflectable weighted walks in arbitrary dimension	0
The AFLT q-Morris constant term identity	0
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Two-dimensional Fibonacci words: Tandem repeats and factor complexity	0
Generic projections of the H4 configuration of points	0
Tiling-based models of perimeter and area	0
Invariants for level-1 phylogenetic networks under the Cavendar-Farris-Neyman model	0
Hypercubes and Hamilton cycles of display sets of rooted phylogenetic networks	0
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On the moments of moments of random matrices and Ehrhart polynomials	0
SL(2) intertwining Minkowski valuations in the plane	0
An involution on restricted Laguerre histories and its applications	0
New results on Nyldon words and Nyldon-like sets	0
Combinatorial identities associated with a bivariate generating function for overpartition pairs	0
Sign signatures and characters of Weyl Groups	0
Incidence geometry in a Weyl chamber II: SL	0
Positivity of permutation pattern character polynomials	0
Subspace concentration of mixed volume measures	0
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Block symmetries in graph coloring reconfiguration systems	0
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k-Codimensional projection bodies	0
The entropy of the radical ideal of a tropical curve	0
A characterization of the star duality mapping	0
Jacobian matrices of Y-seed mutations	0
Inequalities for the overpartition function arising from determinants	0
r-Lah distribution: Properties, limit theorems and an application to compressed sensing	0
Multiple orthogonal polynomials associated with branched continued fractions for ratios of hypergeometric series	0
Uniform tight frames as optimal signals	0
Avoiding a pair of patterns in multisets and compositions	0
Fishburn trees	0
Algebraic model selection and experimental design in biological data science	0
Continuity of limit surfaces of locally uniform random permutations	0
The Möbius matroids	0
Factorisation of the complete graph into spanning regular factors	0
k-Factorizations of the full cycle and generalized Mahonian statistics on k-forests	0
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Carries and a map on the space of rational functions	0
Rotational Crofton formulae with a fixed subspace	0
A unified framework to prove multiplicative inequalities for the partition function	0
Computations versus bijections for tiling enumeration	0
On some configurations of oppositely charged trapped vortices in the plane	0
Polynomial reduction for holonomic sequences and applications in π-series and congruences	0