Subconvexity for -functions of non-spherical cusp forms on {\rm GL}(3)
Tom 192 / 2020
Acta Arithmetica 192 (2020), 31-62
MSC: Primary 11M41, 11F55, 11F72.
DOI: 10.4064/aa180125-5-2
Opublikowany online: 24 October 2019
Streszczenie
Let f be a cusp form for {\rm SL}(3, \Bbb {Z}) associated with a generalized principal series representation of minimal weight d, spectral parameter r and associated L-function L(s, f). For r \asymp d \asymp T the subconvexity bound L(1/2, f) \ll T^{3/4 - 1/140000 } is proved.
