374 research outputs found

    Large character sums: Burgess's theorem and zeros of LL-functions

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    We study the conjecture that nxχ(n)=o(x)\sum_{n\leq x} \chi(n)=o(x) for any primitive Dirichlet character χ(modq)\chi \pmod q with xqϵx\geq q^\epsilon, which is known to be true if the Riemann Hypothesis holds for L(s,χ)L(s,\chi). We show that it holds under the weaker assumption that `100%100\%' of the zeros of L(s,χ)L(s,\chi) up to height 14\tfrac 14 lie on the critical line; and establish various other consequences of having large character sums

    Spatio-Temporal Analysis of Wikipedia Metadata and the STiki Anti-Vandalism Tool

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    The bulk of Wikipedia anti-vandalism tools require natural language processing over the article or diff text. However, our prior work demonstrated the feasibility of using spatio-temporal properties to locate malicious edits. STiki is a real-time, on-Wikipedia tool leveraging this technique. The associated poster reviews STiki\u27s methodology and performance. We find competing anti-vandalism tools inhibit maximal performance. However, the tool proves particularly adept at mitigating long-term embedded vandalism. Further, its robust and language-independent nature make it well-suited for use in less-patrolled Wiki installations

    An evolutionary perspective on the kinome of malaria parasites

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    Malaria parasites belong to an ancient lineage that diverged very early from the main branch of eukaryotes. The approximately 90-member plasmodial kinome includes a majority of eukaryotic protein kinases that clearly cluster within the AGC, CMGC, TKL, CaMK and CK1 groups found in yeast, plants and mammals, testifying to the ancient ancestry of these families. However, several hundred millions years of independent evolution, and the specific pressures brought about by first a photosynthetic and then a parasitic lifestyle, led to the emergence of unique features in the plasmodial kinome. These include taxon-restricted kinase families, and unique peculiarities of individual enzymes even when they have homologues in other eukaryotes. Here, we merge essential aspects of all three malaria-related communications that were presented at the Evolution of Protein Phosphorylation meeting, and propose an integrated discussion of the specific features of the parasite's kinome and phosphoproteome
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