Waldspurger’s Formula and Central Critical Values of L-Functions of Newforms in Weight Aspect
We shall give a proof of the Lindelöf hypothesis in weight aspect on the average for central critical values of quadratic character twists of Hecke L-functions attached to cuspidal Hecke eigenforms. One of the basic tools will be Waldspurger’s results on central critical values of L-functions in weight aspect.
KeywordsWaldspurger’s formula Jacobi form Lindelöf hypothesis Poincaré series
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- M. Eichler and D. Zagier, The theory of Jacobi forms, Progress in Math. vol. 55, Birkhäuser: Boston 1985Google Scholar