Asymptotic density in combined number systems.
Asymptotic density of A⊂ ℕ and density of the ratio set R(A)
Asymptotic distribution and symmetric means of algebraic numbers
Schur introduced the problem on the smallest limit point for the arithmetic means of totally positive conjugate algebraic integers. This area was developed further by Siegel, Smyth and others. We consider several generalizations of the problem that include questions on the smallest limit points of symmetric means. The key tool used in the study is the asymptotic distribution of algebraic numbers understood via the weak* limits of their counting measures. We establish interesting properties of the...
Asymptotic estimates for phi functions for subsets of .
Asymptotic estimates for rational points of bounded height on flag varieties
Asymptotic estimates for some number-theoretic power series
Asymptotic Estimates on Finite Abelian Groups
Asymptotic expansion of the equipoise curve of a polynomial inequality.
Asymptotic expansions of certain q-series and a formula of Ramanujan for specific values of the Riemann zeta function
Asymptotic expansions of certain sums involving powers of binomial coefficients.
Asymptotic expansions of finite theta series
Asymptotic expansions of the mean values of Dirichlet L-functions III.
Asymptotic expansions of the mean values of Dirichlet L-functions.
Asymptotic form for generalized factorial
Asymptotic Formula for Distinct Partitions of Lattice Points with Congruence Restrictions.
Asymptotic formula for sum-free sets in abelian groups
Asymptotic formulae.
Asymptotic formulae concerning arithmetical functions defined by cross-convolutions. VI: --free integers.
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.
Asymptotic Formulae for the Coefficients of a Class of Modular Forms.