Abstract
It is well known that the modular equation for the full modular group satisfies several properties such as Kronecker’s congruence relation. In this article, we prove that the modular equation for any congruence subgroup Γ1(m) ∩ Γ(mN) of genus zero satisfies similar properties including Kronecker’s congruence relation.
Original language | English |
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Pages (from-to) | 187-204 |
Number of pages | 18 |
Journal | Ramanujan Journal |
Volume | 51 |
Issue number | 1 |
DOIs | |
State | Published - 1 Jan 2020 |
Keywords
- Kronecker’s congruence relation
- Modular equations
- Modular polynomials