Number of class polynomials of multiple eta-quotients with odd level

作者：Nakata Mitsusada^*

来源：Journal of Number Theory, 2016, 158: 316-332.

DOI：10.1016/j.jnt.2015.06.010

• Class polynomials
• Complex multiplication
• Ring class fields
• Multiple eta-quotients

We discuss class polynomials of multiple eta-quotients for an order of an imaginary quadratic field defined by using N-systems. We give an upper bound of the number of distinct class polynomials of multiple eta-quotient constructed from N-systems. Moreover we give a sufficient condition such that class polynomials are uniquely determined independent of a choice of N-system.

• 出版日期2016-1