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Expansions at Cusps and Petersson Products in Pari/GP (1809.10908v1)
Published 28 Sep 2018 in math.NT
Abstract: We begin by explaining how to compute Fourier expansions at all cusps of any modular form of integral or half-integral weight thanks to a theorem of Borisov-Gunnells and explicit expansions of Eisenstein series at all cusps. Using this, we then give a number of methods for computing arbitrary Petersson products. All this is available in the current release of the Pari/GP package.
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