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Partition functions arise in combinatorics and related problems of statistical physics as they encode in a succinct way the combinatorial structure of complicat

Integer partitions play important roles in diverse areas of mathematics such as q-series, the theory of modular forms, representation theory, symmetric function

The primary goal of this thesis is the study of the 1-loop partition function of critical topologically massive gravity, a theory conjectured to be dual to a lo

Convexity is a simple idea that manifests itself in a surprising variety of places. This fertile field has an immensely rich structure and numerous applications