We study the problem of finding the Artin L-functions with the smallest conductor for a given Galois type. We adapt standard analytic techniques to our novel situation of fixed Galois type and obtain much improved lower bounds on the smallest conductor. For small Galois types we use complete tables of number fields to determine the actual smallest conductor.

We define a numerical invariant, the differential Swan conductor, for certain differential modules on a rigid analytic annulus over a p-adic field. This gives a definition of a conductor for p-adic Galois representations with finite local monodromy over an equal characteristic discretely valued field, which agrees with the usual Swan conductor when the residue field is perfect. We also establis...

Tempo perception has been studied using many different methodologies in trying to isolate the motion patterns of a conductor in experimental stimuli. In doing so, the context of conducting has been ignored including secondary bodily motion, expression and communication from the conductor, and conducting gestures outside of the realm of tempo control. The aim of this study is to test the ability...

The accurate and fast computation of the per unit length (pul) internal impedance of rectangular conductors is required in electromagnetic analysis of various engineering and scientific problems where high current frequencies are involved [1, 2]. This pul internal impedance of a rectangular conductor can also be used in more complicated conductor structures where the shape of the conductor is a...

The initial temperature of a heat conductor is zero and its boundary temperature is kept equal to one at each time. The conductor contains a stationary isothermic surface, that is, an invariant spatial level surface of the temperature. In a previous paper, we proved that, if the conductor is bounded, then it must be a ball. Here, we prove that the boundary of the conductor is either a hyperplan...

We define a numerical invariant, the differential Swan conductor, for certain differential modules on a rigid analytic annulus over a p-adic field. This gives a definition of a conductor for p-adic Galois representations with finite local monodromy over an equal characteristic discretely valued field, which agrees with the usual Swan conductor when the residue field is perfect. We also establis...

˜ Computer networks are becoming more complex and diverse. Increasingly, an end-to-end connection will traverse several links with orders of magnitude differences in characteristics such as bandwidth, latency, error rate, jitter, and monetary cost. At the same time, most applications assume a level of network characteristics below which they either provide no service, or service at a cost highe...

According to the tradition, music ensembles are usually lead by a conductor who is the responsible to coordinate and guide the group under a specific musical criteria. Similarly, computer ensembles resort to a conductor to keep the synchronization and structural coordination of the performance, often with the assistance of software. Achieving integration and coherence in a networked performance...