Geodesic
A remark on the Shimura correspondence
Glasgow mathematical journal, Tome 30 (1988) no. 3, pp. 285-291

Voir la notice de l'article provenant de la source Cambridge University Press

In [4] an identity is given which relates the product of two Fourier coefficients of a Hecke eigenform g of half-integral weight and level 4N with N odd and squarefree to the integral of a Hecke eigenform f of even integral weight associated to g under the Shimura correspondence along a geodesic period on the modular curve X0(N) This formula contains as a special case a refinement of a result of Waldspurger [6] about special values of L-series attached to f at the central point. 
Kohnen, Winfried. A remark on the Shimura correspondence. Glasgow mathematical journal, Tome 30 (1988) no. 3, pp. 285-291. doi: 10.1017/S0017089500007370
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