A First Course in Modular Forms

By Fred Diamond, J. Shurman. 2008

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The sphere packing problem in dimension 24 (2016, background): “sitions 1.10 and 1.12]. Such a convergent expansion implies eective estimates for the Fourier coecients. For a comprehensive introduction to the theory of modular forms we refer the reader to [20], [9]. 4 Fourier eigenfunctions with double zeroes at lattice points In this section we construct two ra”
Neutrino masses and mixing from double covering of finite modular groups (2019, methodology): “Under the S and T transformations, η(τ) behaves as [33, 34, 40]”
Finding meaning in error terms (2008, background): “A good start would be Diamond and Shurman’s text [8].”