Results 51 to 60 of about 1,750 (289)
The hybrid mean value of Dedekind sums and two-term exponential sums
Open Mathematics, 2016 In this paper, we use the mean value theorem of Dirichlet L-functions, the properties of Gauss sums and Dedekind sums to study the hybrid mean value problem involving Dedekind sums and the two-term exponential sums, and give an interesting identity and ...
Leran Chang, Xiaoxue Li
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Irreducible Cyclic Codes and Gauss Sums
, 1975 In this paper we wish to point out the existence of a close connection between irreducible cyclic codes and Gauss sums over finite fields, and then to apply the well-developed theory of Gauss sums to the much less well-developed theory of irreducible ...
McEliece, R. J., R. J. McEliece
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Historical Foundation and Practical Guideline for Ferroelectric Switching Kinetic Studies
Advanced Functional Materials, EarlyView.The P and U pulses in the conventional PUND measurements are not identical because of the interplay between switching current and the measurement circuit components. This circuit effect can lead to a shift in polarization transients and misinterpreted physics in the switching kinetics.
Yi Liang, Pat Kezer, John T. Heron
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On the General Dedekind Sums and Two-Term Exponential Sums
The Scientific World Journal, 2014 We use the analytic methods and the properties of Gauss sums to study the computational problem of one kind hybrid mean value involving the general Dedekind sums and the two-term exponential sums, and give an interesting computational formula for it.
Junli Zhang, Wenpeng Zhang
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Gauss Sum Factorization with Cold Atoms [PDF]
Physical Review Letters, 2008 4 pages, 5 ...
Gilowski, M. +6 more
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Gauss sums over some matrix groups
, 2012 In this note, we give explicit expressions of Gauss sums for general (resp. special) linear groups over finite fields, which involve classical Gauss sums (resp. Kloosterman sums).
Hu, Su, Li, Yan, Su Hu, Yan Li
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Ultrasmall High‐Entropy Materials: Nanoscale Effects, Synthesis, and Mechanistic Insights
Advanced Functional Materials, EarlyView.This review article focuses on sub‐10 nm high‐entropy materials that combine nanoscale design with complex compositions for next‐generation applications. ABSTRACT Ultrasmall high‐entropy nanomaterials (USHENMs, <10 nm) merge multicomponent chemistry with size‐dependent effects, forming a distinct class of materials with unprecedented properties.
Yueyue He +5 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
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Quadratic Gauss sums on matrices
, 2004 Gauss sums over a finite field are generalized to ones over a matrix ring, related to numbers of solutions of diagonal matrix equations. A similar relation of quadratic Gauss sums of two types is obtained.
Kuroda, Mitsuru, Mitsuru Kuroda
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Advanced Functional Materials, EarlyView.This work presents a programmable atomic engineering strategy for 2D materials using Å‐scale nanoreactors formed by bilayer graphene (BLG) intercalation. A new class of alkali‐iron‐chloride compounds, along with lateral heterostructures composed of monolayer alkali halides and iron chlorides, is revealed.
Haiming Sun +6 more
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