Abstract
In 1947 D.H. Lehmer conjectured that Ramanujan’s tau-function never vanishes. In the 1980s, B. Gross and D. Zagier proved a deep formula expressing the central derivative of suitable Hasse–Weil L-functions in terms of the Neron–Tate height of a Heegner point. This expository article describes recent work (with J.H. Bruinier and R. Rhoades) which reformulates both topics in terms of the algebraicity of harmonic Maass forms.
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