## The circle method and bounds for $L$-functions—III: $t$-aspect subconvexity for $GL(3)$ $L$-functions

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- by Ritabrata Munshi
- J. Amer. Math. Soc.
**28**(2015), 913-938 - DOI: https://doi.org/10.1090/jams/843
- Published electronically: July 13, 2015
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## Abstract:

Let $\pi$ be a Hecke-Maass cusp form for $SL(3,\mathbb {Z})$. In this paper we will prove the following subconvex bound: \[ L\left (\tfrac {1}{2}+it,\pi \right )\ll _{\pi ,\varepsilon } (1+|t|)^{\frac {3}{4}-\frac {1}{16}+\varepsilon }. \]## References

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## Bibliographic Information

**Ritabrata Munshi**- Affiliation: School of Mathematics, Tata Institute of Fundamental Research, 1 Dr. Homi Bhabha Road, Colaba, Mumbai 400005, India
- MR Author ID: 817043
- Email: rmunshi@math.tifr.res.in
- Received by editor(s): March 31, 2014
- Published electronically: July 13, 2015
- © Copyright 2015 American Mathematical Society
- Journal: J. Amer. Math. Soc.
**28**(2015), 913-938 - MSC (2010): Primary 11F66, 11M41; Secondary 11F55
- DOI: https://doi.org/10.1090/jams/843
- MathSciNet review: 3369905