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arXiv · 1910.09691

Average values of quadratic Hecke character sums

Peng Gao·Liangyi Zhao
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Abstract

We study smoothed character sums involving $\sum_{m,n} ( \frac{m}{n} )_2$, where $( \frac{m}{n} )_2$ denotes the quadratic symbol in the Gaussian field. We extend previously known results to obtain asymptotic formulas for the sums considered to larger ranges of $m$ and $n$.

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Peng Gao, Liangyi Zhao. 2019-10-21. Average values of quadratic Hecke character sums. https://arxiv.org/abs/1910.09691

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