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arxiv: 1708.08164 · v2 · pith:RF35PV4Nnew · submitted 2017-08-28 · 🧮 math.NT

Mean values of some Hecke characters

classification 🧮 math.NT
keywords charactersheckecharactercomparablecubicevaluateinvolvinglengths
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In this paper, we evaluate a smoothed character sum involving $\sum_{m}\sum_{n}\leg {m}{n}$, with quadratic, cubic or quartic Hecke characters $\leg {m}{n}$, and the two sums over $m$ and $n$ are of comparable lengths.

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