Abstract
Let f be a normalized Hecke eigenform of weight 2k, with k odd. The main result of this paper is an equation representing the value of L ( f , s ) L ( f ⊗ ε , s ) L(f,s)L(f \otimes \varepsilon ,s) at s = k s = k in terms of the Fourier coefficients of a modular form of half-integral weight.
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