Asymptotic methods for discrete structures, including singularity analysis and saddle point methods for generating series; applications to number theory, including Dirichlet series, exponential sums, and the circle method; additive combinatorics, including probabilistic and Fourier methods. Three term hours; lectures. (3.0 credit units)
Asymptotic methods for discrete structures, including singularity analysis and saddle point methods for generating series; applications to number theory, including Dirichlet series, exponential sums, and the circle method; additive combinatorics, including probabilistic and Fourier methods. Three term hours; lectures. (3.0 credit units)