Abstract
In this paper, we will give the subconvexity bounds for self-dual $\mathrm{GL}(3)$ $L$-functions in the $t$ aspect as well as subconvexity bounds for self-dual $\mathrm{GL}(3)\times \mathrm{GL}(2)$ $L$-functions in the $\mathrm{GL}(2)$ spectral aspect.
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@incollection{MV1,
author={Michel, Philippe and Venkatesh, Akshay},
TITLE = {Heegner points and nonvanishing of Rankin-Selberg $L$-functions},
BOOKTITLE={Analytic {{N}}umber {{T}}heory},
SERIES={Clay Math. Proc.},
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PAGES={169--183},
PUBLISHER={Amer. Math. Soc.},
ADDRESS={Providence, RI},
YEAR={2007},
MRNUMBER={2362200},
ZBLNUMBER={pre05233962},
} -
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@incollection {MV2, MRKEY = {2275604},
AUTHOR = {Michel, Philippe and Venkatesh, Akshay},
TITLE = {Equidistribution, {$L$}-functions and ergodic theory: on some problems of {Y}u. {L}innik},
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} -
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@article {Mil, MRKEY = {2230922},
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JOURNAL = {Amer. J. Math.},
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ISSN = {0002-9327},
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URL = {http://muse.jhu.edu/journals/american_journal_of_mathematics/v128/128.3miller.pdf},
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}