Kloosterman paths of prime powers moduli

23 janv. 2024 · 1 min. de lecture

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What is drawn

$$ 1\leq j_1<\dotsc where $\overline{j_n}$ is an inverse of $j_n$ modulo $q$. Kloosterman’s partial sums are complex numbers. We can therefore associate them with points that we plot, one after the other, starting with $K_{j_1}(a,b)$ then $K_{j_2}(a,b)$ up to $K_{j_{\varphi(q)}}(a,b;q)$.

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Emmanuel Royer
Auteurs
Emmanuel Royer
Professeur des universités en mathématiques