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 jn‾\overline{j_n} is an inverse of jnj_n modulo qq. Kloosterman’s partial sums are complex numbers. We can therefore associate them with points that we plot, one after the other, starting with Kj1(a,b)K_{j_1}(a,b) then Kj2(a,b)K_{j_2}(a,b) up to Kjφ(q)(a,b;q)K_{j_{\varphi(q)}}(a,b;q).

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Emmanuel Royer
Auteurs
Emmanuel Royer
Professeur des universités en mathématiques