13 citations · 20 across the 4 of their papers we have counts for
4 papers · 1 filter
On Sums of hyper-Kloosterman Sums
Jack Buttcane
A formula of Kuznetsov allows one to interpret a smooth sum of Kloosterman sums as a sum over the spectrum of automorphic forms. In this paper, we construct a similar formu…
Subconvexity for L-functions of non-spherical cusp forms on GL(3)
Valentin Blomer, Jack Buttcane
Let f be a cusp form for SL(3, Z) associated with a generalized principal series representation of minimal weight d, spectral parameter r and associated L-function L(s, f). For $r…
Weights, raising and lowering operators, and K-types for automorphic forms on SL(3,R)
Jack Buttcane, Stephen D. Miller
We give a fully explicit description of Lie algebra derivatives (generalizing raising and lowering operators) for representations of SL(3,R) in terms of a basis of Wigner functions…
On the subconvexity problem for L-functions on GL(3)
Valentin Blomer, Jack Buttcane
Let f be a cusp form for the group SL(3, Z) with Langlands parameter mu and associated L-function L(s, f). If mu is in generic position, i.e. away from the Weyl chamber walls and a…