185 citations
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Showing 2005Show all
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hep-th2005★ 30 cited
States on timelike hypersurfaces in quantum field theory
Robert Oeckl
We investigate the possibility of defining states on timelike hypersurfaces in quantum field theory. To this end we consider hyperplanes in the real massive Klein-Gordon theory usi…
math.NT2005★ 4 cited
New estimates of double trigonometric sums with exponential functions
M. Z. Garaev, A. A. Karatsuba
We establish a new bound for the exponential sum \begin{eqnarray*} \sum_{x\in\mathcal{X}}\Big|\sum_{y\in \mathcal{Y}}γ(y)\exp(2πi a λ^{xy}/p)\Big|, \end{eqnarray*} where is an…