Amanda Folsom
Abstract
We provide an exact formula for the complex exponents in the modular product expansion of the modular units in terms of the Kubert–Lang structure theory, and deduce a characterization of the modular units in terms of the growth of these exponents, answering a question posed by Kohnen.
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We provide an exact formula for the complex exponents in the modular product expansion of the modular units in terms of the Kubert–Lang structure theory, and deduce a characterization of the modular units in terms of the growth of these exponents, answering a question posed by Kohnen.
Key concepts: Modular design, Mathematics, Characterization (materials science), Modular form, Product (mathematics), Algebra over a field, Modular curve, Pure mathematics