Rational decomposition of modular forms |
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Authors: | Alexandru A Popa |
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Institution: | 1.Institute of Mathematics Simion Stoilow of the Romanian Academy,Bucharest,Romania |
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Abstract: | We prove explicit formulas decomposing cusp forms of even weight for the modular group, in terms of generators having rational
periods, and in terms of generators having rational Fourier coefficients. Using the Shimura correspondence, we also give a
decomposition of Hecke cusp forms of half integral weight k+1/2 with k even in terms of forms with rational Fourier coefficients, given by Rankin–Cohen brackets of theta series with Eisenstein
series. |
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Keywords: | |
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