A note on the mean value of the zeta and $L$-functions. XI
Jutila, Matti Ilmari ; Motohashi, Yoichi
Proc. Japan Acad. Ser. A Math. Sci., Tome 78 (2002) no. 10, p. 1-6 / Harvested from Project Euclid
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The present note reports an optimal bound for a version of the spectral fourth power moment of Hecke $L$-functions associated with Maass forms over the full modular group, in which the spectral parameter runs over short intervals. Consequentially, a new hybrid subconvexity bound is attained for individual values of those $L$-functions on the critical line.
Publié le : 2002-01-14
Classification:  Hybrid subconvexity bound,  Hecke $L$-function,  Maass form,  Bruggeman-Kuznetsov sum formula,  binary additive divisor sum,  11F66,  11F72 
@article{1148392778,
     author = {Jutila, Matti Ilmari and Motohashi, Yoichi},
     title = {A note on the mean value of the zeta and $L$-functions. XI},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {78},
     number = {10},
     year = {2002},
     pages = { 1-6},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1148392778}
}

Jutila, Matti Ilmari; Motohashi, Yoichi. A note on the mean value of the zeta and $L$-functions. XI. Proc. Japan Acad. Ser. A Math. Sci., Tome 78 (2002) no. 10, pp.  1-6. http://gdmltest.u-ga.fr/item/1148392778/