Long large character sums
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DOI: 10.1112/mtk.12116
Abstract: In this paper, we prove a lower bound for $\underset{\chi \neq \chi_0}{\max}\bigg|\sum_{n\leq x} \chi(n)\bigg|$, when $x= \frac{q}{(\log q)^B}$. This improves on a result of Granville and Soundararajan for large character sums when the range of… read more here.
Keywords: character sums; chi; long large; character ... See more keywords