Normal bases in finite fields via general Gauss periods
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Extensive amenability is a property of group actions which has recently been used as a tool to prove amenability of groups. We study this property and prove that it is preserved under a very general construction of semidirect products. As an application, w ...
Let F-q be a finite field of q elements, where q is a large odd prime power and Q = a(1)x(1)(c1) + ..... + a(d)x(d)(cd) is an element of F-q[x(1) ,...,x(d)], where 2
We study the Lonely Runner Conjecture, conceived by Jörg M. Wills in the 1960's: Given positive integers n_1, n_2, ... , n_k, there exists a positive real number t such that for all 1 \le j \le k the distance of t n_j to the nearest integer is at least 1 / ...
For any positive integers n≥3,r≥1 we present formulae for the number of irreducible polynomials of degree n over the finite field F2r where the coefficients of xn−1, xn−2 and xn−3 are zero. Our proofs involve coun ...
At the centre of the research is the preservation of the countryside which is highlighted and studied through an architectural approach which focuses on cabins in the high mountains. The projects must reflect upon territorial, global and sustainable aspect ...
We extend the Leon verification system for Scala with support for bit-vector reasoning, thus addressing one of its fundamental soundness limitation with respect to the treatment of integers primitives. We leverage significant progresses recently achieved i ...
Dedicated multisensory mechanisms in the brain represent peripersonal space (PPS), a limited portion of space immediately surrounding the body. Previous studies have illustrated the malleability of PPS representation through hand-object interaction, showin ...
What are the best tools for assessing the quality of an urban space or landscape, in terms of social, physiological, aesthetic, and functional well-being? What features – spatial, material, or visual – can make some areas of a city welcoming, and perhaps e ...
Epimerisation between ribofuranose and arabinofuranose sugars is crucial in several biosynthetic pathways, but is typically challenging to monitor. Here, we have screened for fluorescent boronic acids that can be used as molecular probes for the specific d ...
Potential functionals have been introduced recently as an important tool for the analysis of coupled scalar systems (e.g. density evolution equations). In this contribution we investigate interesting properties of this potential. Using the tool of displace ...