Results 51 to 60 of about 121,729 (283)
Atomic‐Scale Detection of Néel Vector Switching in the Single‐Layer A‐Type Antiferromagnet Cr2S3‐2D
Advanced Materials, EarlyView.Interfacial electron donation from graphene redistributes charge within single‐layer Cr2S3‐2D, preferentially accumulating at the lower Cr/S plane. The resulting minute magnetic imbalance lifts the equivalence of the two magnetic sublayers, enabling atomic‐resolution identification and field‐induced control of Néel‐vector states in a two‐dimensional A ...
Affan Safeer +11 more
wiley +1 more source
A note on two-term exponential sum and the reciprocal of the quartic Gauss sums
Advances in Difference Equations, 2021 The main purpose of this article is by using the properties of the fourth character modulo a prime p and the analytic methods to study the calculating problem of a certain hybrid power mean involving the two-term exponential sums and the reciprocal of ...
Wenpeng Zhang, Xingxing Lv
doaj +1 more source
Tokyo Journal of Mathematics, 2012 Let \(p > 2\) be a prime number, \(\mathbb F_p\) the prime finite field with \(p\) elements, \(\mathbb F^*_p\) its multiplicative cyclic group of order \(p-1\) and \(i = \sqrt{-1}\). The classical Gauss sum \(g_p\) is given by \[ \tau_p= \sum_{x \in \mathbb F^*_p} \left( \frac{x}{p} \right) e^{2 { \pi}i x/p}, \] where \( \left( \frac{x}{p} \right)\) is
GOMI, Yasushi +2 more
openaire +3 more sources
Gauss Sum Factorization with Cold Atoms [PDF]
Physical Review Letters, 2008 4 pages, 5 ...
Gilowski, M. +6 more
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Advanced Optical Materials, EarlyView.Tailored amine substitution in fluorene and dibenzothiophene derivatives enables systematic control of excited‐state properties and triplet population. Combined photophysical studies, TD‐DFT calculations and time‐resolved EPR reveal how charge‐transfer character, sulfur‐induced spin–orbit coupling and triplet manifold engineering cooperate to promote ...
Francesco Ruighi +10 more
wiley +1 more source
Algebraic degrees of a class of exponential sums
四川大学学报. 自然科学版, 2020 Recently Wan studied the algebraic degrees of the exponential sums S_q(f) over a finite field F_q. In this article, basing on Wan's results, we discuss the Gauss sums for the case q=p^2 and obtain that S_q(x^d) has only two possible values, if it is of ...
Chen Chao, PENG Guo-Hua
doaj
On the hybrid power mean of two kind different trigonometric sums
Open Mathematics, 2019 The main purpose of this paper is using the analytic method, the properties of trigonometric sums and Gauss sums to study the computational problem of one kind hybrid power mean involving two different trigonometric sums, and give an interesting ...
Zhuoyu Chen, Wenpeng Zhang
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The Weil representation and Gauss sums [PDF]
Pacific Journal of Mathematics, 1996 We use the Weil representation to evaluate certain Gauss sums over a local field, up to \(\pm 1\). Also we construct a cocycle on \(\text{Sp} (2m, \mathbb{R})\) with a simple formula on the maximal compact torus and we show how to lift homomorphisms \(j: \text{Sp} (2n, \mathbb{R})\to \text{Sp} (2m, \mathbb{R})\) to the double covers of these groups.
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Bias in cubic Gauss sums: Patterson’s conjecture
, 2022 We prove, in this joint work with Maksym Radziwill, a 1978 conjecture of S. Patter-son (conditional on the Generalised Riemann hypothesis) concerning the bias of cubic Gauss sums.
Dunn, Alex
core
Advanced Robotics Research, EarlyView.Intelligent Sky Guardians (InSkyGuard) is introduced as a four‐drone swarm that autonomously detects, tracks, and safely captures rogue drones using a coordinated net system. Computer vision and leader–follower control architecture enable synchronized enclosure, while integrated failsafes enhance system reliability. Validated through closed‐environment
Joshua Hastings +6 more
wiley +1 more source