2 citations · 5 across the 4 of their papers we have counts for
4 papers
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…
Quantum Ergodicity for products of hyperbolic planes
Dubi Kelmer
For manifolds with geodesic flow that is ergodic on the unit tangent bundle, the quantum ergodicity theorem implies that almost all Laplacian eigenfunctions become equidistributed…
On PAC Extensions and Scaled Trace Forms
Lior Bary-Soroker, Dubi Kelmer
Any non-degenerate quadratic form over a Hilbertian field (e.g., a number field) is isomorphic to a scaled trace form. In this work we extend this result to more general fields. In…
On the quantum variance of matrix elements for the cat map on the 4-dimensional torus
Dubi Kelmer
For many classically chaotic systems, it is believed that in the semiclassical limit, the matrix elements of smooth observables approach the phase space average of the observable.…