Large character sums

Andrew Granville (University of Georgia); K. Soundararajan (AIM; Princeton University)

arxiv: math/9903196 · v1 · pith:EDSXJBOKnew · submitted 1999-03-23 · 🧮 math.NT

Large character sums

Andrew Granville (University of Georgia) , K. Soundararajan (AIM , Princeton University) This is my paper

classification 🧮 math.NT

keywords characterinfinityassumingauthorsfieldfinitegeneralizedholds

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Assuming the Generalized Riemann Hypothesis, the authors study when a character sum over all n <= x is o(x); they show that this holds if log x / log log q -> infinity and q -> infinity (q is the size of the finite field).

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Large character sums

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