Geodesic
On the factorization of the discriminant of a classical modular equation
Mitsusada Nakata1
1 9-2-5, Karita, Sumiyoshi-ku Osaka-shi, Osaka, Japan
Acta Arithmetica, Tome 178 (2017) no. 1, pp. 77-85.

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

This paper is concerned with the discriminant of a classical modular equation of prime level. Weber determined all its factors but not their multiplicities. This paper fills in that gap by presenting an explicit formula for the discriminant and its factors with multiplicities. Also a relation between a classical modular equation of prime level $p$ and that of level $p^2$ is presented.
DOI : 10.4064/aa8538-8-2016
Keywords: paper concerned discriminant classical modular equation prime level weber determined its factors their multiplicities paper fills gap presenting explicit formula discriminant its factors multiplicities relation between nbsp classical modular equation prime level level presented

Mitsusada Nakata 1

1 9-2-5, Karita, Sumiyoshi-ku Osaka-shi, Osaka, Japan 
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Mitsusada Nakata. On the factorization of the discriminant of a classical modular equation. Acta Arithmetica, Tome 178 (2017) no. 1, pp. 77-85. doi : 10.4064/aa8538-8-2016. http://geodesic.mathdoc.fr/articles/10.4064/aa8538-8-2016/

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