modular form

Summary

modular form ranks in the top 2% of general entities by monthly Wikipedia readership (260 views/month).^[1]

Key Facts

• modular form's image is recorded as Discriminant real part.jpeg^[2].
• modular form's Library of Congress authority ID is recorded as sh85050826^[3].
• modular form's subclass of is recorded as holomorphic function^[4].
• modular form's subclass of is recorded as meromorphic function^[5].
• modular form's Freebase ID is recorded as /m/01q038^[6].
• modular form's topic's main category is recorded as Category:Modular forms^[7].
• modular form's described by source is recorded as Great Soviet Encyclopedia (1926–1947)^[8].
• modular form's Stack Exchange tag is recorded as https://mathoverflow.net/tags/modular-forms^[9].
• modular form's Stack Exchange tag is recorded as https://math.stackexchange.com/tags/modular-forms^[10].
• modular form's defining formula is recorded as \begin{aligned}&f\colon\mathbb H\to\mathbb C\&\Gamma\le\operatorname{SL}(2;\mathbb Z)\&k\in\mathbb Z\&\forall\gamma=\begin{pmatrix}a&b\c&d\end{pmatrix}\in\Gamma\colon f(\gamma(z))=(cz+d)^kf(z)\&\forall\gamma=\begin{pmatrix}a&b\c&d\end{pmatrix}\in\operatorname{SL}(2;\mathbb Z)\colon\sup_{z\to\infty\mathrm i}|(cz+d)^{-k}f(\gamma(z))|<\infty\end{aligned}^[11].
• modular form's MathWorld ID is recorded as ModularForm^[12].
• modular form's nLab ID is recorded as modular form^[13].
• modular form's maintained by WikiProject is recorded as WikiProject Mathematics^[14].
• modular form's Microsoft Academic ID is recorded as 75764964^[15].
• modular form's in defining formula is recorded as f^[16].
• modular form's in defining formula is recorded as \mathbb H^[17].
• modular form's in defining formula is recorded as \mathbb C^[18].
• modular form's in defining formula is recorded as \operatorname{SL}(2;\mathbb Z)^[19].
• modular form's in defining formula is recorded as \Gamma^[20].
• modular form's in defining formula is recorded as \gamma^[21].
• modular form's in defining formula is recorded as k^[22].
• modular form's in defining formula is recorded as \mathbb Z^[23].
• modular form's National Library of Israel J9U ID is recorded as 987007545854805171^[24].
• modular form's OpenAlex ID is recorded as C75764964^[25].
• modular form's LMFDB knowl ID is recorded as mf.about^[26].

Why It Matters

modular form ranks in the top 2% of general entities by monthly Wikipedia readership (260 views/month).^[1] It has Wikipedia articles in 19 language editions, a strong signal of global cultural recognition.^[27] It is known by 13 alternative names across languages and contexts.^[28]