We prove the Kloosterman-Spectral sum formula for $\mathrm {PSL} _ {2}(\mathbb
{Z}[i])\backslash\mathrm {PSL} _ {2}(\mathbb {C}) $, and apply it to derive an explicit spectral …

SUM FORMULA FOR SL2 OVER A NUMBER FIELD AND SELBERG TYPE ESTIMATE FOR
EXCEPTIONAL EIGENVALUES RW Bruggeman and RJ Miatello 1 Page 1 GAFA, Geom. funct …

We prove that if $\nu $ has small norm with respect to the level and the weight, the $\nu $-th
Hilbert Poincar\'e series does not vanish identically. We also prove Selberg's identity on …

Estimates for Kloosterman sums for totally real number ®elds Page 1 J. reine angew. Math.
535 (2001), 103Ð164 Journal fuÈr die reine und angewandte Mathematik ( Walter de …

Let F be a totally real number field of dimension d, and let OF be its ring of integers. If q is an
ideal in OF let Γ= Γ0 (q) denote the congruence subgroup of Hecke type of the Hilbert …

We carry out the first nontrivial cases of the limiting process proposed by Langlands in his
manuscript Beyond Endoscopy, with technical variations that enable us to treat the limit …

The authors prove a general form of the sum formula $\mathrm {SL} _2 $ over a totally real
number field. This formula relates sums of Kloosterman sums to products of Fourier …

We prove, in respect of an arbitrary Hecke congruence subgroup Γ= Γ 0 (q 0)⩽ SL (2, Z [i]),
some new upper bounds for sums involving Fourier coefficients of Γ-automorphic cusp forms …

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ll $ so$ g ˆ1 il $ ve< quad ryoo$ d ˆ1 el $ iaes $ fo S 1 a, bc) $< quad n< quad hsase$ s 1 ee …

We study the asymptotics of the lattice point counting function N(x,y;r)=\#{γ∈Γ\,:\,d(x,γy)\} for
a Riemannian symmetric space X obtained from a semisimple Lie group of real rank one …