Browsing by Author "Baker, Liam Bradwin"

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    Analytic methods in combinatorial number theory
    (Stellenbosch : Stellenbosch University, 2015-12) Baker, Liam Bradwin; Wagner, Stephan; Stellenbosch University. Faculty of Science. Department Mathematical Sciences (Mathematics)
    ENGLISH ABSTRACT : Two applications of analytic techniques to combinatorial problems with number-theoretic flavours are shown. The first is an application of the real saddle point method to derive second-order asymptotic expansions for the number of solutions to the signum equation of a general class of sequences. The second is an application of more elementary methods to yield asymptotic expansions for the number of partitions of a large integer into powers of an integer b where each part has bounded multiplicity.
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    Drinfeld modular forms of higher rank from a lattice-oriented point of view
    (Stellenbosch : Stellenbosch University., 2020-04) Baker, Liam Bradwin; Basson, Dirk Johannes; Breuer, Florian; Stellenbosch University. Faculty of Science. Dept. of Mathematical Sciences.
    ENGLISH ABSTRACT: