Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal Mock Jacobi Theta Functions   We classify the optimal mock Jacobi forms of weight one with rational
coefficients. The space they span is thirty-four-dimensional, and admits a
distinguished basis parameterized by genus zero groups of isometries of the
hyperbolic plane. We show that their Fourier coefficients can be expressed
explicitly in terms of singular moduli, and obtain positivity conditions which
distinguish the optimal mock Jacobi forms that appear in umbral moonshine. We
find that all of Ramanujan's mock theta functions can be expressed simply in
terms of the optimal mock Jacobi forms with rational coefficients.

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The categories of this paper are: atom-ph
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The categories of this paper are: hep-th
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ph
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-alg
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: econ
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex