Results 91 to 100 of about 68,261 (266)
On a rigidity property for quadratic gauss sums
Abstract Let N$N$ be a large prime and let c>1/4$c > 1/4$. We prove that if f$f$ is a ±1$\pm 1$‐valued multiplicative function, such that the exponential sums Sf(a):=∑1⩽n
Alexander P. Mangerel
wiley +1 more source
Critical sets in the elementary abelian 2- and 3- groups
In 1998, Khodkar showed that the minimal critical set in the Latin square corresponding to the elementary abelian 2-group of order 16 is of size at most 124.
Bean, Richard
core
Morita equivalence classes of 2-blocks of defect three [PDF]
We give a complete description of the Morita equivalence classes of blocks with elementary abelian defect groups of order 8 and of the derived equivalences between them.
Eaton, Charles W.
core
Addition theorems in elementary Abelian groups, I
Let \(G\) be a commutative finite group. Given a sequence \(S=(a_1,\ldots,a_n)\) of elements of \(G\), \(a_i\neq 1\), define \[ \Sigma (S)=\{a_{i_1} a_{i_2}\cdots a_{i_k}: 1\leq ...
openaire +1 more source
The modular automorphisms of quotient modular curves
Abstract We obtain the modular automorphism group of any quotient modular curve of level N$N$, with 4,9∤N$4,9\nmid N$. In particular, we obtain some unexpected automorphisms of order 3 that appear for the quotient modular curves when the Atkin–Lehner involution w25$w_{25}$ belongs to the quotient modular group. We also prove that such automorphisms are
Francesc Bars, Tarun Dalal
wiley +1 more source
On Parametrization of the Linear GL(4,C) and Unitary SU(4) Groups in Terms of Dirac Matrices
Parametrization of 4 × 4-matrices G of the complex linear group GL(4,C) in terms of four complex 4-vector parameters (k,m,n,l) is investigated. Additional restrictions separating some subgroups of GL(4,C) are given explicitly.
Natalia G. Tokarevskaya +2 more
doaj +1 more source
It is known that the so-called elementary symmetric polynomials $R_n(x) = \int_{[0,1]}(x(t))^n\,dt$ form an algebraic basis in the algebra of all symmetric continuous polynomials on the complex Banach space $L_\infty,$ which is dense in the Fr\'{e}chet ...
T.V. Vasylyshyn
doaj +1 more source
Relational Bundle Geometric Formulation of Non‐Relativistic Quantum Mechanics
Abstract A bundle geometric formulation of non‐relativistic many‐particles Quantum Mechanics is presented. A wave function is seen to be a C$\mathbb {C}$‐valued cocyclic tensorial 0‐form on configuration space‐time seen as a principal bundle, while the Schrödinger equation flows from its covariant derivative, with the action functional supplying a ...
J. T. François, L. Ravera
wiley +1 more source
Cyclotomy and difference families in elementary abelian groups
AbstractBy a (v, k, λ)-difference family in an additive abelian group G of order v, we mean a family (Bi ∣ i ∈ I) of subsets of G, each of cardinality k, and such that among the differences (a − b ∣ a, b ∈ Bi; a ≠ b; i ∈ I) each nonzero g ∈ G occurs λ times. The existence of such a difference family implies the existence of a (v, k, λ)-BIBD with G as a
openaire +1 more source
de Sitter Excited State in Heterotic E8×E8${\rm E}_8 \times {\rm E}_8$ Theory
Abstract A novel duality sequence is devised to study late‐time cosmology in the heterotic E8×E8${\rm E}_8 \times {\rm E}_8$ setup of Horava and Witten with dynamical walls that are moving towards each other. Remarkably, the dimensionally reduced 4‐dimensional theory does not violate NEC and no bouncing or ekpyrotic phase is observed.
Suddhasattwa Brahma +5 more
wiley +1 more source

