Analytic methods in combinatorial number theory

[摘要] ENGLISH ABSTRACT : Two applications of analytic techniques to combinatorial problems withnumber-theoretic flavours are shown. The first is an application of thereal saddle point method to derive second-order asymptotic expansions forthe number of solutions to the signum equation of a general class of sequences.The second is an application of more elementary methods to yield asymptoticexpansions for the number of partitions of a large integer into powers of aninteger b where each part has bounded multiplicity.

[发布机构] Stellenbosch University