Computing central values of twisted l-series: The case of composite levels

We describe a general method to compute weight- 3 2 modular forms “associated” with a given weight-2 modular form f of level N, and relate its Fourier coefficients to central values of quadratic twists (real and imaginary) of L(f, s). We will focus on examples for levels N = 27, N = 15, and N = 75....

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Autores principales: Pacetti, A., Tornaría, G.
Formato: JOUR
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Acceso en línea:http://hdl.handle.net/20.500.12110/paper_10586458_v17_n4_p459_Pacetti
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Sumario:We describe a general method to compute weight- 3 2 modular forms “associated” with a given weight-2 modular form f of level N, and relate its Fourier coefficients to central values of quadratic twists (real and imaginary) of L(f, s). We will focus on examples for levels N = 27, N = 15, and N = 75. © A K Peters, Ltd.