Within the last year
Within the past 3 years
1 - 9 of 9 articles
This work, investigates the asymptotics for Euler’s q -exponential E q ( z ), Ramanujan’s function A q ( z ), Jackson’s q -Bessel function J v (2) ( z ; q ), the Stieltjes–Wigert orthogonal polynomials S n ( x ; q ) and q -Laguerre polynomials L n (α) ( x ; q ) as q approaches 1.
Let α( n ) denote the Fourier coefficients of cusp forms or the number of divisors of n . Estimates of the type are shown, uniformly in q ≤ X . The methods can be extended to other arithmetic functions, for example, the number of representations of n as a sum of two squares or k -free numbers....
It is proved that every positive operator R on a Banach lattice E dominated by a strictly singular operator T : E → E satisfies that the R 4 is strictly singular. Moreover, if E is order continuous then the R 2 is already strictly singular.
We prove analogues for reductive algebraic groups of some results for finite groups due to Knörr and Robinson from ‘Some remarks on a conjecture of Alperin’, J. London Math. Soc (2) 39 (1989), 48–60, which play a central rôle in their reformulation of Alperin's conjecture for finite groups.
We show that for every orthogonally additive scalar n -homogeneous polynomial P on a C*-algebra A there exists ϕ in A * satisfying P ( x )=ϕ ( x n ), for each element x in A . The vector-valued analogue follows as a corollary.
Let X be a compact quotient of the product of the real Heisenberg group H 4 m +1 of dimension 4 m + 1 and the three-dimensional real Euclidean space R 3 . A left-invariant hypercomplex structure on H 4 m +1 × R 3 descends onto the compact quotient X . The space X is a hyperholomorphic fibration...
We describe a double construction, which associates a symmetric associative algebra to a bialgebra. We show how a block of a finite group with cyclic defect can be realised via this double construction, after a felicitous choice of bialgebra.
Let α 1 , …,α r ∈ R be ‘not very well approximable’, for example, Q -linearly independent real algebraic numbers. Then there are infinitely many positive square-free integers n such that ‖ n α i ‖ << n −(2/3 r )+ϵ (1 ≤ i ≤ r ), where ‖·‖ denotes distance to the nearest...
We look at plane curve diagrams ( f ,α), which are given by a plane curve multigerm α : (ℝ, S ) → ℝ 2 and a function on it f :(ℝ, S ) → ℝ. We obtain a classification of all such diagrams, where α has 𝒜 e -codimension ≤ 2 and f has finite order. Then we define an equivalence...
Read and print from thousands of top scholarly journals.
Sign up with Facebook
Sign up with Google
Already have an account? Log in
Save this article to read later. You can see your Read Later on your DeepDyve homepage.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Sign Up Log In
To subscribe to email alerts, please log in first, or sign up for a DeepDyve account if you don’t already have one.
To get new article updates from a journal on your personalized homepage, please log in first, or sign up for a DeepDyve account if you don’t already have one.