18 citations · 105 across the 29 of their papers we have counts for
Showing 2008 · math.NTShow all
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math.NT2008★ 2 cited
Strong Spectral Gaps for Compact Quotients of Products of $\PSL(2,\bbR)$
Dubi Kelmer, Peter Sarnak
The existence of a strong spectral gap for quotients $Γ\bs G$ of noncompact connected semisimple Lie groups is crucial in many applications. For congruence lattices there are unifo…
math.NT2008★ 6 cited
On matrix elements for the quantized cat map modulo prime powers
Dubi Kelmer
The quantum cat map is a model for a quantum system with underlying chaotic dynamics. In this paper we study the matrix elements of smooth observables in this model, when taking ar…
math.NT2008★ 1 cited
Distribution of twisted Kloosterman sums modulo prime powers
Dubi Kelmer
In this note we study Kloosterman sums twisted by a multiplicative characters modulo a prime power. We show, by an elementary calculation, that these sums become equidistributed on…