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Award ID contains: 1702296

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  1. ; ; (, Journal of Combinatorial Algebra)
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  2. ; (, Acta Mathematica Hungarica)
    null (Ed.)
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  3. ; (, European Journal of Combinatorics)
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  4. ; (, Acta Arithmetica)
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  5. ; (, Mathematika)
    We examine correlations of the Möbius function over $$\mathbb{F}_{q}[t]$$ with linear or quadratic phases, that is, averages of the form 1 $$\begin{eqnarray}\frac{1}{q^{n}}\mathop{\sum }_{\deg f0$$ if $$Q$$ is linear and $$O(q^{-n^{c}})$$ for some absolute constant $c>0$ if $$Q$$ is quadratic. The latter bound may be reduced to $$O(q^{-c^{\prime }n})$$ for some $$c^{\prime }>0$$ when $Q(f)$ is a linear form in the coefficients of $$f^{2}$$ , that is, a Hankel quadratic form, whereas, for general quadratic forms, it relies on a bilinear version of the additive-combinatorial Bogolyubov theorem. 
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  6. ; (, Archiv der Mathematik)
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