Auflistung nach Autor "Zagier, Don"
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q-Series, their Modularity, and Nahm's Conjecture
(2024-09-11)This thesis concerns modularity properties of Nahm sums, a family of <em>q</em>-hypergeometric series, and applications. They appear, for example, as characters of VOAs, knot invariants, and generating functions for classes ... -
Modular q–difference equations and quantum invariants of hyperbolic three–manifolds
(2023-04-28)In this thesis, we take up the study of quantum invariants of hyperbolic closed three manifolds. In particular, we consider the behaviour of the Witten-Reshetikhin-Turaev invariants associated to the Lie algebra of the ... -
Modularity of special motives of rank four associated with Calabi-Yau threefolds
(2023-09-18)In this thesis, we study modularity properties of pure motives and mixed period matrices of rank four. The pure motives that we consider are associated with Calabi-Yau threefolds, while the mixed period matrices are ... -
Symplectic Automorphic Forms and Kloosterman Sums
(2021-10-12)In this thesis, we study automorphic forms on the rank 2 symplectic group Sp(4), in the context of analytic number theory. While much of the abstract theory is described in Langlands’ theory, one needs more explicit formulae ...
