7,314 research outputs found
Arithmetic correlations over large finite fields
The auto-correlations of arithmetic functions, such as the von Mangoldt
function, the M\"obius function and the divisor function, are the subject of
classical problems in analytic number theory. The function field analogues of
these problems have recently been resolved in the limit of large finite field
size . However, in this limit the correlations disappear: the arithmetic
functions become uncorrelated. We compute averages of terms of lower order in
which detect correlations. Our results show that there is considerable
cancellation in the averaging and have implications for the rate at which
correlations disappear when ; in particular one cannot
expect remainder terms that are of the order of the square-root of the main
term in this context.Comment: The paper has been accepted by IMR
Multiatom Quantum Coherences in Micromasers as Fuel for Thermal and Nonthermal Machines
In this paper we address the question: To what extent is the quantum state
preparation of multiatom clusters (before they are injected into the microwave
cavity) instrumental for determining not only the kind of machine we may
operate but also the quantitative bounds of its performance? Figuratively
speaking, if the multiatom cluster is the "crude oil", the question is: Which
preparation of the cluster is the refining process that can deliver a
"gasoline" with a "specific octane"? We classify coherences or quantum
correlations among the atoms according to their ability to serve as (i) fuel
for nonthermal machines corresponding to atomic states whose coherences
displace or squeeze the cavity field, as well as cause its heating; and (ii)
fuel which is purely "combustible", i.e., corresponds to atomic states that
only allow for heat and entropy exchange with the field and can energize a
proper heat engine. We identify highly promising multiatom states for each kind
of fuel and propose viable experimental schemes for their implementation.Comment: 13 pages, 8 figure
Detection of non-Gaussian Fluctuations in a Quantum Point Contact
An experimental study of current fluctuations through a tunable transmission
barrier, a quantum point contact, are reported. We measure the probability
distribution function of transmitted charge with precision sufficient to
extract the first three cumulants. To obtain the intrinsic quantities,
corresponding to voltage-biased barrier, we employ a procedure that accounts
for the response of the external circuit and the amplifier. The third cumulant,
obtained with a high precision, is found to agree with the prediction for the
statistics of transport in the non-Poissonian regime.Comment: 4 pages, 4 figures; published versio
Observation of the rare decay B+ -> K+π0π0 and measurement of the quasi-two-body contributions B+ -> K*(892)+π0, B+ -> f0(980)K+, and B+ -> χc0K+
We report an analysis of charmless hadronic decays of charged B mesons to the final state K(+) pi(0)pi(0), using a data sample of (470.9 +/- 2.8) x 10(6) B (B) over bar events collected with the BABAR detector at the Y(4S) resonance. We observe an excess of signal events, with a significance above 10 standard deviations including systematic uncertainties, and measure the branching fraction and CP asymmetry to be B(B(+) -> K(+) pi(0)pi(0)) = (16.2 +/- 1.2 +/- 1.5) x 10(-6) and A(CP)(B(+) -> K(+) pi(0)pi(0)) = -0.06 +/- 0.06 +/- 0.04, where the uncertainties are statistical and systematic, respectively. Additionally, we study the contributions of the B(+) -> K*(892)(+) pi(0), B(+) -> f(0)(980)K(+), and B(+) -> chi(c0)K(+) quasi-two-body decays. We report the world's best measurements of the branching fraction and CP asymmetry of the B(+) -> K(+) pi(0)pi(0) and B(+) -> K(+)(892)(+) pi(0) channels
Distinct subpopulations of enteric neuronal progenitors defined by time of development, sympathoadrenal lineage markers and Mash-1-dependence
Enteric and sympathetic neurons have previously been proposed to be lineally related. We present independent lines of evidence that suggest that enteric neurons arise from at least two lineages, only one of which expresses markers in common with sympathoadrenal cells. In the rat, sympathoadrenal markers are expressed, in the same order as in sympathetic neurons, by a subset of enteric neuronal precursors, which also transiently express tyrosine hydroxylase. If this precursor pool is eliminated in vitro by complement-mediated lysis, enteric neurons continue to develop; however, none of these are serotonergic. In the mouse, the Mash-1−/− mutation, which eliminates sympathetic neurons, also prevents the development of enteric serotonergic neurons. Other enteric neuronal populations, however, including those that contain calcitonin gene related peptide are present. Enteric tyrosine hydroxylase-containing cells co-express Mash-1 and are eliminated by the Mash-1−/− mutation, consistent with the idea that in the mouse, as in the rat, these precursors generate serotonergic neurons. Serotonergic neurons are generated early in development, while calcitonin gene related peptide-containing enteric neurons are generated much later. These data suggest that enteric neurons are derived from at least two progenitor lineages. One transiently expresses sympathoadrenal markers, is Mash-1-dependent, and generates early-born enteric neurons, some of which are serotonergic. The other is Mash-1-independent, does not express sympathoadrenal markers, and generates late-born enteric neurons, some of which contain calcitonin gene related peptide
Evidence That the RNA Methylation and Poly(A) Polymerase Stimulatory Activities of Vaccinia Virus Protein VP39 Do Not Impinge upon One Another
AbstractVaccinia protein VP39 has two RNA modifying activities. In monomeric form, it acts as an mRNA cap-specific 2′-O-methyltransferase, specifically modifying the ribose moiety of the first transcribed nucleotide of m7G-capped mRNA. In association with VP55, the catalytic subunit of the vaccinia poly(A) polymerase, VP39 facilitates the rapid elongation of poly(A) tails that are already greater than ∼35 nt in length. Introducing new assays, we provide evidence that substrates for each of VP39's two activities do not detectably modulate the converse reaction and that VP39's 2′-O-methyltransferase activity is not significantly affected by its association with VP55. In an electrophoretic mobility shift assay, VP39 interacted with a short (5 nucleotide) RNA only when the latter was m7G-capped. Complexes with longer (22 nucleotide) RNAs were more stable (i.e., cap-independent) but were further stabilized by the presence of an m7G cap. An additional complex was observed at elevated RNA:protein molar ratios, indicating the presence of two RNA binding sites per VP39 molecule. Interaction at one of these sites was stabilized by the cap structure. Additional experiments indicated that RNA molecules undergoing poly(A) tail elongation by the VP55-VP39 heterodimer are not favored as cap-methylation substrates
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