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• W1921296435 abstract "This thesis deals with the question for possible recurrence relations among Fourier coefficients of a certain class of mock modular forms. The most prominent examples of such Fourier coefficients are the Hurwitz class numbers of binary quadratic forms, which satisfy many well-known recurrence relations. As examples one should mention the Kronecker-Hurwitz class number relations and the famous Eichler-Selberg trace formula for Hecke operators on spaces of cusp forms. In 1975, H. Cohen conjectured an infinite family of such class number relations which are intimately related to the aforementioned Eichler-Selberg trace formula. In this thesis, I prove Cohen's conjecture and other similar class number formulas using important results from the theory of mock modular forms.By applying a different method I prove at the end that such recurrence relations are a quite general phenomenon for Fourier coefficients of mock theta functions and mock modular forms of weight $tfrac 32$. As special cases, one gets an alternative proof for the aforementioned class number relations." @default.
• W1921296435 created "2016-06-24" @default.
• W1921296435 creator A5000503666 @default.
• W1921296435 date "2014-01-01" @default.
• W1921296435 modified "2023-09-27" @default.
• W1921296435 title "Mock Modular Forms and Class Numbers of quadratic forms" @default.
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• W1921296435 hasPublicationYear "2014" @default.
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