Take the 2-minute tour ×  Hi I am curious about the growth of
coefficients of cusp forms. I am aware of Ramanujan-Petersson
conjecture/theorem in general terms but I was hoping for a more
detailed description of precise statements on the growth of all
the cusp form coefficients and whether these were tight. Also,
for the Fourier coefficients of Hasse-Weil L-series of elliptic
curves (meaning what can we say about these without making use
to modularity). Any good references would be very useful also.
Thanks!  share|improve this question You probably mean
holomorphic forms, but it's worth commenting that this paper on
the arXiv arxiv.org/abs/0802.3548 seems to claim to prove the
Ramanujan conjecture for Maass forms. –  Stopple Oct 28 '10 at
15:20 Does anyone have any ideas about the correctness of this
paper? I haven't looked at it but it seems to have been revised
every month, which seems strange. –  Kimball Oct 28 '10 at 16:15
I myself have some confusion about the correctness... When the
first version(s) app