Results 41 to 50 of about 3,230,283 (325)
Evaluation of the convolution sum involving the sum of divisors function for 22, 44 and 52
Open Mathematics, 2017 The convolution sum, ∑(l,m)∈N02αl+βm=nσ(l)σ(m), $ \begin{array}{} \sum\limits_{{(l\, ,m)\in \mathbb{N}_{0}^{2}}\atop{\alpha \,l+\beta\, m=n}} \sigma(l)\sigma(m), \end{array} $ where αβ = 22, 44, 52, is evaluated for all natural numbers n. Modular forms
Ntienjem Ebénézer
doaj +1 more source
Six-Dimensional (1,0) Superconformal Models and Higher Gauge Theory
, 2013 We analyze the gauge structure of a recently proposed superconformal field theory in six dimensions. We find that this structure amounts to a weak Courant-Dorfman algebra, which, in turn, can be interpreted as a strong homotopy Lie algebra. This suggests
Baez J. +7 more
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Chiral Primaries in Strange Metals [PDF]
, 2014 It was suggested recently that the study of 1-dimensional QCD with fermions in the adjoint representation could lead to an interesting toy model for strange metals and their holographic formulation.
Isachenkov, Mikhail +2 more
core +2 more sources
The analytic theory of algebraic numbers [PDF]
Bulletin of the American Mathematical Society, 1975 1. The basics of algebraic number theory. An algebraic number field is a field K = Q(a) where a is a zero of an irreducible (over Q) polynomial f(x) with integral coefficients. The degree of K, which we denote by n = n(K) = [K:Q], is the degree of ƒ(%). We write the roots of /(x) = 0 as a, a, • • • ,a ( n ) m such a way that for l^j^r1 = r1(K), a Q) is
openaire +3 more sources
International Journal of Adaptive Control and Signal Processing, EarlyView.Summary Data‐driven forecasting of ship motions in waves is investigated through feedforward and recurrent neural networks as well as dynamic mode decomposition. The goal is to predict future ship motion variables based on past data collected on the field, using equation‐free approaches.
Matteo Diez +2 more
wiley +1 more source
On split quasi-hereditary covers and Ringel duality
Forum of Mathematics, SigmaIn this paper, we develop two new homological invariants called relative dominant dimension with respect to a module and relative codominant dimension with respect to a module.
Tiago Cruz
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Vertex Algebras and Costello-Gwilliam Factorization Algebras [PDF]
arXiv, 2020 Vertex algebras and factorization algebras are two approaches to chiral conformal field theory. Costello and Gwilliam describe how every holomorphic factorization algebra on the plane of complex numbers satisfying certain assumptions gives rise to a Z-graded vertex algebra. They construct some models of chiral conformal theory as factorization algebras.
arxiv
Spacetime Virasoro algebra from strings on zero radius AdS_3
, 2003 We study bosonic string theory in the light-cone gauge on AdS_3 spacetime with zero radius of curvature (in string units) R/\sqrt{\alpha^\prime}=0. We find that the worldsheet theory admits an infinite number of conserved quantities which are naturally ...
A. Clark +17 more
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A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems
International Journal of Adaptive Control and Signal Processing, Volume 39, Issue 3, Page 566-581, March 2025.A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam +2 more
wiley +1 more source
Golod-Shafarevich groups: a survey
, 2012 In this paper we survey the main results about Golod-Shafarevich groups and their applications in algebra, number theory and topology.Comment: 54 ...
Ershov, Mikhail
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