Found 4 document(s)
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In a recent paper with Sprang and Zudilin, the following result was proved: if $a$ is large enough in terms of $\varepsilon>0$, then at least $2^{(1-\varepsilon)\frac{\log a}{\log \log a}}$ values of the Riemann zeta fun...
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Building upon ideas of the second and third authors, we prove that at least 2^{(1−ε)(log s)/(log log s)} values of the Riemann zeta function at odd integers between 3 and s are irrational, where ε is any positive real nu...
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In this paper we deduce a lower bound for the rank of a family of $p$ vectors in $\R^k$ (considered as a vector space over the rationals) from the existence of a sequence of linear forms on $\R^p$, with integer coefficie...
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In this article we study interpolation estimates on a special class of compactifications of commutative algebraic groups constructed by Serre. We obtain a large quantitative improvement over previous results due to Masse...