The resonance method for large character sums

Details The resonance method for large character sums The resonance method for large character sums

2011-09-08

arxiv.org/abs/1109.1786v1

Mathematics

Number Theory

Scientific paper

We consider the size of large character sums, proving new lower bounds for
the quantity $\Delta(N,q) = \sup_{\chi\neq \chi_0 mod q} |\sum_{n < N}
\chi(n)|$ for almost all ranges of $N$. The results are proven using the
resonance method and saddle point analysis.

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