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In mathematics, the Rankin–Cohen bracket of two modular forms is another modular form, generalizing the product of two modular forms.Rankin gave some general conditions for polynomials in derivatives of modular forms to be modular forms, and Cohen found the explicit examples of such polynomials that give Rankin–Cohen brackets. They were named by Zagier, who introduced Rankin–Cohen algebras as an abstract setting for Rankin–Cohen brackets.

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  • ランキン・コーエンブラケット (ja)
  • Rankin–Cohen bracket (en)
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  • In mathematics, the Rankin–Cohen bracket of two modular forms is another modular form, generalizing the product of two modular forms.Rankin gave some general conditions for polynomials in derivatives of modular forms to be modular forms, and Cohen found the explicit examples of such polynomials that give Rankin–Cohen brackets. They were named by Zagier, who introduced Rankin–Cohen algebras as an abstract setting for Rankin–Cohen brackets. (en)
  • 数学において、2つのモジュラー形式のRankin–Cohen ブラケット (Rankin–Cohen bracket) は別のモジュラー形式であり、2つのモジュラー形式の積を一般化する。 はモジュラー形式の微分の多項式がモジュラー形式であるための一般的な条件をいくつか与え、 は Rankin-Cohen ブラケットを与えるような多項式の明示的な例を見つけた。それらは Zagier によって名づけられた。彼は Rankin–Cohen 代数をブラケットに対して抽象的な設定として導入した。 (ja)
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  • Robert Alexander Rankin (en)
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  • Rankin (en)
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  • In mathematics, the Rankin–Cohen bracket of two modular forms is another modular form, generalizing the product of two modular forms.Rankin gave some general conditions for polynomials in derivatives of modular forms to be modular forms, and Cohen found the explicit examples of such polynomials that give Rankin–Cohen brackets. They were named by Zagier, who introduced Rankin–Cohen algebras as an abstract setting for Rankin–Cohen brackets. (en)
  • 数学において、2つのモジュラー形式のRankin–Cohen ブラケット (Rankin–Cohen bracket) は別のモジュラー形式であり、2つのモジュラー形式の積を一般化する。 はモジュラー形式の微分の多項式がモジュラー形式であるための一般的な条件をいくつか与え、 は Rankin-Cohen ブラケットを与えるような多項式の明示的な例を見つけた。それらは Zagier によって名づけられた。彼は Rankin–Cohen 代数をブラケットに対して抽象的な設定として導入した。 (ja)
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