A new subconvex bound for GL(3) L-functions in the t-aspect

@article{Aggarwal2019ANS,
  title={A new subconvex bound for GL(3) L-functions in the t-aspect},
  author={Keshav Aggarwal},
  journal={arXiv: Number Theory},
  year={2019}
}
  • K. Aggarwal
  • Published 23 March 2019
  • Mathematics
  • arXiv: Number Theory
We revisit Munshi's proof of the $t$-aspect subconvex bound for $\rm GL(3)$ $L$-functions, and we are able to remove the `conductor lowering' trick. This simplification along with a more careful stationary phase analysis allows us to improve Munshi's bound to, $$ L(1/2+it, \pi) \ll_{\pi, \epsilon} (1+|t|)^{3/4-3/40+\epsilon}. $$ 
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