Geodesic
An improvement of a lemma from Gauss’s first proof of quadratic reciprocity
A. Schinzel1 ; M. Skałba2
1 Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-656 Warszawa, Poland
2 Institute of Mathematics University of Warsaw Banacha 2 02-097 Warszawa, Poland
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 65 (2017) no. 1, pp. 29-33.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

An upper estimate is given for the least prime $q$ such that $(d/q)=1$ and $(p/q)=-1$, where $d\not =0$ is a given integer and $p$ is a given prime satisfying $p\equiv 1\ ({\rm mod}\ 8)$ and $(d/p)=1$.
DOI : 10.4064/ba8109-4-2017
Keywords: upper estimate given least prime where given integer given prime satisfying equiv mod

A. Schinzel 1 ; M. Skałba 2

1 Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-656 Warszawa, Poland
2 Institute of Mathematics University of Warsaw Banacha 2 02-097 Warszawa, Poland 
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A. Schinzel; M. Skałba. An improvement of a lemma from Gauss’s first proof of quadratic reciprocity. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 65 (2017) no. 1, pp. 29-33. doi : 10.4064/ba8109-4-2017. http://geodesic.mathdoc.fr/articles/10.4064/ba8109-4-2017/

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