Asymptotic expansions of certain sums involving powers of binomial coefficients.
Asymptotic form for generalized factorial
Asymptotic formulae for partition ranks
Using an extension of Wright's version of the circle method, we obtain asymptotic formulae for partition ranks similar to formulae for partition cranks which where conjectured by F. Dyson and recently proved by the first author and K. Bringmann.
Asymptotics for coefficients of algebraic functions.
Asymptotics for incidence matrix classes.
Asymptotics for Lacunary sums of binomial coefficients and a card problem with ranks.
Asymptotics for random walks in alcoves of affine Weyl groups.
Asymptotics for the probability of connectedness and the distribution of number of components.
Asymptotics of coefficients of multivariate generating functions: Improvements for smooth points.
Asymptotics of counts of small components in random structures and models of coagulation-fragmentation
We establish necessary and sufficient conditions for the convergence (in the sense of finite dimensional distributions) of multiplicative measures on the set of partitions. The multiplicative measures depict distributions of component spectra of random structures and also the equilibria of classic models of statistical mechanics and stochastic processes of coagulation-fragmentation. We show that the convergence of multiplicative measures is equivalent to the asymptotic independence of counts of...
Asymptotics of generating the symmetric and alternating groups.
Asymptotics of permutations with nearly periodic patterns of rises and falls.
Asymptotics of some convolutional recurrences.
Asymptotics of the average height of 2-watermelons with a wall.
Asymptotics of the number of -words with an -descent.
Asymptotische Abschätzung einer Anzahlfunktion in endlichen Relationssystemen.
Augmented rook boards and general product formulas.
Automatic enumeration of regular objects.
Avoiding 2-letter signed patterns.
Avoiding maximal parabolic subgroups of .