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math.NT2006★ 11 cited
Computation of central value of quadratic twists of modular L-functions
Zhengyu Mao, Fernando Rodriguez-Villegas, Gonzalo Tornaría
Let f be a newform of weight two, prime level p. If D is a fundamental discriminant, define the twisted L-function L(f,D,s) to be the L-function associated to the twist of f by the…
math.NT2006★ 5 cited
Shimura correspondence for level p^2 and the central values of L-series
Ariel Pacetti, Gonzalo Tornaría
Given a weight 2 and level p^2 modular form f, we construct two weight 3/2 modular forms (possibly zero) of level 4p^2 and non trivial character mapping to f via the Shimura corres…