FLINT3.7.0-dev

DedekindEta, ModularJ, ModularLambda, EisensteinG, EisensteinE, EulerQSeries

Synopsis#include <flint/fexpr_builtin.h>
DedekindEta
ModularJ
ModularLambda
EisensteinG
EisensteinE
EulerQSeries

Modular forms and functions: the Dedekind eta function DedekindEta(tau) (η(τ)\eta(\tau)), the jj-invariant ModularJ(tau) (j(τ)j(\tau)), the modular lambda function ModularLambda(tau) (λ(τ)\lambda(\tau)), the Eisenstein series EisensteinG(k, tau) (Gk ⁣(τ)G_{k}\!\left(\tau\right)) and their normalised versions EisensteinE(k, tau) (Ek ⁣(τ)E_{k}\!\left(\tau\right)), and the Euler function EulerQSeries(q) (ϕ(q)\phi(q)), equal to ∏k≥1(1−qk) \prod_{k \ge 1} (1 - q^k).

Cite this page

The FLINT team, “DedekindEta, ModularJ, ModularLambda, EisensteinG, EisensteinE, EulerQSeries (fexpr_builtin.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/fexpr_builtin/DedekindEta.html (generated 2026-11-02).