Abstract
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.
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Kohnen, W., Sengupta, J. (2002). Waldspurger’s Formula and Central Critical Values of L-Functions of Newforms in Weight Aspect. In: Kanemitsu, S., Jia, C. (eds) Number Theoretic Methods. Developments in Mathematics, vol 8. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3675-5_11
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DOI: https://doi.org/10.1007/978-1-4757-3675-5_11
Publisher Name: Springer, Boston, MA
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