Results 81 to 90 of about 40,026 (194)
p$p$‐adic equidistribution and an application to S$S$‐units
Abstract We prove a Galois equidistribution result for torsion points in Gmn$\mathbb {G}_m^n$ in the p$p$‐adic setting for test functions of the form log|F|p$\log |F|_p$ where F$F$ is a nonzero polynomial with coefficients in the field of complex p$p$‐adic numbers.
Gerold Schefer
wiley +1 more source
Leibniz Representations of Lie Algebras
The authors examine the category \(L({\mathfrak g})\) of finite-dimensional Leibniz representation [the authors, Math. Ann. 296, 139-158 (1993; Zbl 0821.17022)] of the finite-dimensional semisimple Lie algebra \({\mathfrak g}\). First, they notice that \(L({\mathfrak g})\) is not semisimple even when the characteristic of the field \(k\) is 0.
Loday, J-L, Pirashvili, T
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Diophantine tuples and product sets in shifted powers
Abstract Let k⩾2$k\geqslant 2$ and n≠0$n\ne 0$. A Diophantine tuple with property Dk(n)$D_k(n)$ is a set of positive integers A$A$ such that ab+n$ab+n$ is a k$k$th power for all a,b∈A$a,b\in A$ with a≠b$a\ne b$. Such generalizations of classical Diophantine tuples have been studied extensively.
Ernie Croot, Chi Hoi Yip
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The weak (1,1) boundedness of Fourier integral operators with complex phases
Abstract Let T$T$ be a Fourier integral operator of order −(n−1)/2$-(n-1)/2$ associated with a canonical relation locally parametrised by a real‐phase function. A fundamental result due to Seeger, Sogge and Stein proved in the 90's gives the boundedness of T$T$ from the Hardy space H1$H^1$ into L1$L^1$. Additionally, it was shown by T.
Duván Cardona, Michael Ruzhansky
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Sharp commutator estimates of all order for Coulomb and Riesz modulated energies
Abstract We prove functional inequalities in any dimension controlling the iterated derivatives along a transport of the Coulomb or super‐Coulomb Riesz modulated energy in terms of the modulated energy itself. This modulated energy was introduced by the second author and collaborators in the study of mean‐field limits and statistical mechanics of ...
Matthew Rosenzweig, Sylvia Serfaty
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AGGREGATION AND BRACKETS IN MODERN MATHEMATICS: INTRODUCTION TO LOGICALSEMIOTIC ANALYSIS
The article is a logical-methodological investigation in semiotic history of mathematics. It is studied in the article the history of meanings of designation of aggregation and using of brackets and other parentheses in mathematics. The term “aggregation”
Тарас Шиян
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On Soft Intersection Leibniz Algebras
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Multi‐Objective Robust Controller Synthesis With Integral Quadratic Constraints in Discrete‐Time
ABSTRACT This article presents a novel framework for the robust controller synthesis problem in discrete‐time systems using dynamic Integral Quadratic Constraints (IQCs). We present an algorithm to minimize closed‐loop performance measures such as the ℋ∞$$ {\mathscr{H}}_{\infty } $$‐norm, the energy‐to‐peak gain, the peak‐to‐peak gain, or a ...
Lukas Schwenkel +4 more
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A general approach to the linear stability of viscoelastic shear‐flows
Abstract The present work provides an in‐depth analysis of the linear stability theory of viscoelastic shear‐flows, based upon a constitutive equation of the fading memory type. The particular model considered herein was introduced by Kenneth Walters through the integration of classical rate‐type fluids in a convected frame (Walters 1962).
Johannes Conrad, Martin Oberlack
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Odd Jacobi Manifolds and Loday-Poisson Brackets
We construct a nonskew symmetric version of a Poisson bracket on the algebra of smooth functions on an odd Jacobi supermanifold. We refer to such Poisson-like brackets as Loday-Poisson brackets.
Andrew James Bruce
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