In this paper, we compute the scattering matrix for the Hilbert modular group over any number field K. We then express the determinant of the scattering matrix as a ratio of completed Dedekind zeta functions associated to the Hilbert class field of K. This generalizes work of Efrat and Sarnak [ES] in the imaginary quadratic case.

In this research, the effects of important parameters, including the molar ratio of acetic acid to sulfur(S) , sonication time, temperature, and hydrogen the molar ratio of peroxide to sulfur on the performance of ultrasound-assisted oxidative desulfurization were studied using the response surface method (RSM). To this end, a model fuel containing n-decane and dibenzothiophene at a concentrati...

Modeling and performance of on-chip spiral inductors is presented. Y-parameters are obtained from the measured S-parameters of the inductor fabricated in 0.35-μm SOI CMOS technology. Matlab is used to get the π-equivalent circuit model parameters at each frequency point. The SOI CMOS inductor shows better performance characteristics in terms of Q-factor and self-resonance frequency.

This paper demonstrates a digital waveguide implementation of a six-hole woodwind tonehole lattice, based on theory and measurements published by Keefe (1981). Woodwind tonehole transmission-matrix parameters are converted to traveling-wave scattering parameters suitable for digital waveguide implementation. Second-order digital filters are designed to approximate the reflection and transmissio...

In the last ten years, the use of gamma-ray spectrometry for geological mapping and mineral exploration has shown considerable growth. With this growth, standardized procedures have been developed for the calibration and processing of the airborne measurements so that they will be independent of survey parameters. This paper describes some of the new developments to convert airborne data to gro...

Calculations of sensitivities of future experiments are a necessary ingredient in experimental high energy physics. Especially in the context of measurements of the neutrino oscillation parameters extensive studies are performed to arrive at the optimal configuration. In this note we clarify the definition of sensitivity as often applied in these studies. In addition we examine two of the most ...