Let M be a smooth manifold of positive dimension n equipped with a smooth density dμM. Let A be a polyhomogeneous elliptic pseudo-differential operator of positive order m onM which is symmetric for the L scalar product defined by dμM. For each L > 0, the space UL = ⊕ λ≤LKer(A− λId) is a finite dimensional subspace of C∞(M). Let ΠL be the spectral projector onto UL. Given s ∈ R, we compute the ...

Suppose that Q is a positive defined n×n matrix, and Q[x̲]=x̲TQx̲ with x̲∈Zn. The Epstein zeta-function ζ(s;Q), s=σ+it, defined, for σ>n2, by the series ζ(s;Q)=∑x̲∈Zn∖{0̲}(Q[x̲])−s, it has meromorphic continuation to whole complex plane. Let n⩾4 be even, while φ(t) an increasing differentiable function continuous monotonic bounded derivative φ′(t) such φ(2t)(φ′(t))−1≪t, sequence {aφ(k)} uniformly d...

‎let $p$ be a prime with $pgeq 7$ and $q=2(p-1)$‎. ‎in this paper‎ ‎we prove the existence of a nontrivial product of‎ ‎filtration $s+4$ in the stable homotopy groups of spheres‎. ‎this nontrivial‎ ‎product is shown to be represented up to a nonzero scalar by‎ ‎the product element $widetilde{gamma}_{s}b_{n-1}g_{0}in‎ ‎{ext}_{mathcal{a}}^{s+4,(p^n+sp^2+sp+s)q+s-3}(mathbb{z}/p,mathbb{z}/p)$‎ ‎in ...

In a l l adenovlruses (AV) studied to date the DNA possesses a unique inverted terminal repeat (ITR) of the form abc . . . o'b a .Although the repeat sequences are t h o u g h t t o have a r o l e in DNA r e p l i c a t i o n t h e i r e x a c t f unc t i on i s unknownO). Terminal DNA fragments of fowl adenovirus type 10 </ere iden t i f i ed by limited Bal 31 digest ion of genomic DNA prior t...

An increasing number of studies have confirmed that space flight environments can have a significant effect on a variety of microbial properties. To explore the effect of these environments on Staphylococcus aureus, we present the draft genome sequence of an S. aureus strain, named LCT-SA67, which was isolated after space flight.

The increasing emergence of multidrug-resistant Staphylococcus aureus is a problem of global importance. Here, we report the genome of S. aureus VC40, which is resistant to the last-resort antibiotics vancomycin and daptomycin. Its genome sequence will allow insights into the mechanisms that convey full resistance to these compounds.

The bijection between composition structures and random closed subsets of the unit interval implies that the composition structures associated with S ∩ [0, 1] for a self-similar random set S ⊂ R + are those which are consistent with respect to a simple truncation operation. Using the standard coding of compositions by finite strings of binary digits starting with a 1, the random composition of ...