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arXiv · 1703.08842

Upper bounds for $L^q$ norms of Dirichlet polynomials with small $q$

Winston Heap
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Abstract

We improve on previous upper bounds for the $q$th norm of the partial sums of the Riemann zeta function on the half line when $0<q\leqslant 1$. In particular, we show that the 1-norm is bounded above by $(\log N)^{1/4}(\log\log N)^{1/4}$.

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Winston Heap. 2017-03-26. Upper bounds for $L^q$ norms of Dirichlet polynomials with small $q$. https://arxiv.org/abs/1703.08842

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